Perimeters and areas of similar figures practice quizlet

Wyzant is IXL's tutoring network and features thousands of tutors who can help with math, writing, science, languages, music, hobbies, and almost anything else you can imagine. For all ages, children to adults. Improve your math knowledge with free questions in "Area and perimeter of similar figures" and thousands of other math skills.

1. Draw a regular nonagon (or polygon) with center C. Draw Cp and CR (two sides of a triangle, not the base) to form isosceles triangle PCR. The measure of central angle PCR is 360/9 (or number of sides) or 40 (simplified) The perimeter is 9 x 10, or 90 cm. Draw the apothem CS. (s is the middle segment where the right triangle is created. Proportional Perimeters and Areas Theorem. If the similarity ratio of two similar is a/b, then the ratio of their perimeters is a/b, and the ratio of their areas is a2/b2 or (a/b)2 ... the multiplier used on each dimension to change one figure into a similar figure. similar. two figures are similar if they have the same shape but not necessarily the same size. ...If the scale factor of two similar figures is a b \dfrac{a}{b} b a , then: the ratio of their perimeters is a b \dfrac{a}{b} b a , and; the ratio of their areas is a 2 b 2 \dfrac{a^2}{b^2} b 2 a 2 . To compare the first figure to the second figure, we find the scale factor by dividing corresponding sides:Find step-by-step Geometry solutions and your answer to the following textbook question: The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas...CCSS: 8.G.4 (Understanding the relationship between perimeters of similar figures and areas of similar figures.) HW: 2.6B Homework (handout) READ . Examples 1 and 2 on p. 78 – 79, then answer On Your Own #1 – 2 and #12 and 15. ON YOUR OWN 1: The height of Figure A is 10 feet.3.2.1 Modeling Area and Perimeter with Algebra Tiles ... 8.3.1 Area Ratios of Similar Figures ... The Building on Instructional Practice Series consists of three different events – Building on Discourse, Building on Assessment, Building on Equity – that are designed for teachers with a minimum of one year of experience teaching with CPM instructional …What is the ratio of their surface areas? 3:1. The ratio of the volumes of two similar cones is 27:1. What is the ratio of their radii? 8:5. The ratio of the base areas of two similar solids is 64:25. Ratio of the perimeters of their bases? 512:125. The ratio of the base areas of two similar solids is 64:25.How are the similarity ratio and the ratio of the areas related? Answer: The ratio of the areas is the square of the similarity ratio of the triangles. Problem 2 – Similar Figures In Problem 2, students will be asked to repeat the exercise for Problem 1 with similar quadrilaterals. The ratios of the perimeters and areas should be rounded to ...

Take note Theorem 10-7: Perimeters and Areas of Similar Figures. If the scale factor of two similar figures is a b, eh over b , comma then. the ratio of their perimeters is a b eh over b and; the ratio of their areas is a 2 b 2. fraction eh squared , over b squared end fraction . .Find step-by-step Geometry solutions and your answer to the following textbook question: The areas of two similar octagons are 112 in.$^{2}$ and 63 $\mathrm{in.}^{2}$. What is the ratio (larger to smaller) of their perimeters?.1. Draw a regular nonagon (or polygon) with center C. Draw Cp and CR (two sides of a triangle, not the base) to form isosceles triangle PCR. The measure of central angle PCR is 360/9 (or number of sides) or 40 (simplified) The perimeter is 9 x 10, or 90 cm. Draw the apothem CS. (s is the middle segment where the right triangle is created. 9.4K plays. 7th. 15 Qs. Proving Triangles Similar & Similar Tria... 4.3K plays. 9th - 10th. Perimeters and Areas of Similar Figures quiz for 9th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Practice 8-6 Class Perimeters and Areas of Similar Figures For each pair Of similar figures, find the ratio Of the perimeters and the ratio the areas. ... and 32 in.2 5. two squares with areas 81 cm2 and 25 cm2 : 6. two triangles with areas i 7. two and cm2 For each pair Of similar figures, the area Of figure is given. Find the area Of the larger …

Wyzant is IXL's tutoring network and features thousands of tutors who can help with math, writing, science, languages, music, hobbies, and almost anything else you can imagine. For all ages, children to adults. Improve your math knowledge with free questions in "Area and perimeter of similar figures" and thousands of other math skills.Please save your changes before editing any questions. 5 minutes. 1 pt. The perimeter of one rectangle is 12 units. The perimeter of the second rectangle is 20 units. If the area of the SECOND rectangle is 16 square units, what is the area of the first rectangle? 5.76 square units. 9.6 square units. 26.7 square units.Unit 9: Perimeter and Area. Calculating area and perimeter are probably the two most common applications of geometry. For example, if you want to install some carpet you need to measure the size of your space so you know how much carpet you need to buy to cover it (in terms of square feet or square meters).Find step-by-step Geometry solutions and your answer to the following textbook question: The areas of two similar octagons are 112 in.$^{2}$ and 63 $\mathrm{in.}^{2}$. What is the ratio (larger to smaller) of their perimeters?.

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Oct 21, 2023 · Theorem 11.7 Areas of Similar Polygons. If two polygons are similar with the lengths of corresponding sides in the ratio a:b, then the ratio of their areas is a²:b². Side length of Polygon I/Side length of Polygon II. = a/b. Area of Polygon I/Area of Polygon II = a²/b². Ratio of Sides/Perimeters. Side length of Polygon I/Side length of ... Two figures are similar if one is an enlargement of the other (regardless of orientation). If two figures are similar then : the figures are equiangular, and; the corresponding sides are in proportion. These figures are similar. Find x …Calculating Area. Find the area of each rectangle from the previous Example. Then, find the ratio of the areas. A s m a l l = 10 ⋅ 16 = 160 u n i t s 2 A l a r g e = 15 ⋅ 24 = 360 u n i t s 2. The ratio of the areas would be 160 360 = 4 9. The ratio of the sides, or scale factor was 2 3 and the ratio of the areas is 4 9.Practice 8-6 Class Perimeters and Areas of Similar Figures For each pair Of similar figures, find the ratio Of the perimeters and the ratio the areas. ... and 32 in.2 5. two squares with areas 81 cm2 and 25 cm2 : 6. two triangles with areas i 7. two and cm2 For each pair Of similar figures, the area Of figure is given. Find the area Of the larger …Area and perimeter help us measure the size of 2D shapes. We’ll start with the area and perimeter of rectangles. From there, we’ll tackle trickier shapes, such as triangles and circles. ... Practice. Find area with partial unit squares. 7 questions. Practice. Create rectangles with a given area. 4 questions. Practice. Quiz 1. Identify your areas for …

Proportional Perimeters and Areas Theorem. If the similarity ratio of two similar is a/b, then the ratio of their perimeters is a/b, and the ratio of their areas is a2/b2 or (a/b)2 ... the multiplier used on each dimension to change one figure into a similar figure. similar. two figures are similar if they have the same shape but not necessarily the same size. ...A virtual lesson for a flipped classroom. This video covers the ratio of similar figures sides, perimeters, and areas. It then shows specific examples of how...Study with Quizlet and memorize flashcards containing terms like PRS is similar to RQS. If the ratio of the perimeter of RQS to the perimeter of PRS is 3:2, and PR is 4 less than …If the similarity ratio of two similar figures is a/b then, the ratio of their perimeters is a/b and the ratio of their areas is a squared over b squared. Sets with similar terms Geometry Chapter 7 Theorems and PostulatesRatio, Proportion and Rate. 130 plays. 1st. 15 Qs. Partition Line Segments. 894 plays. 10th. area and perimeter similar figures quiz for 10th grade students. Find other quizzes for Mathematics and more on Quizizz for free!If the similarity ratio of two similar figures is a/b then, the ratio of their perimeters is a/b and the ratio of their areas is a squared over b squared. Sets with similar terms Geometry Chapter 7 Theorems and PostulatesThe ratio of the perimeters of two similar triangles is 3:2. One side length of the larger triangle is 12, find the corresponding side length of the smaller triangle. 15 ft. Two similar hexagons have areas of 360 ft² and 250 ft². If the scale factor of two similar figures is a b \dfrac{a}{b} b a , then: the ratio of their perimeters is a b \dfrac{a}{b} b a , and; the ratio of their areas is a 2 b 2 \dfrac{a^2}{b^2} b 2 a 2 . We are given the scale factor a b = 2 3 \dfrac{a}{b}=\dfrac{2}{3} b a = 3 2 . Hence, the ratio of the perimeters is:

Take note Theorem 10-7: Perimeters and Areas of Similar Figures. If the scale factor of two similar figures is a b, eh over b , comma then. the ratio of their perimeters is a b eh over b and; the ratio of their areas is a 2 b 2. fraction eh squared , over b squared end fraction . .

Find the scale factor and the ratio of perimeters for the pair of similar figures. two rectangles with areas 72 m 2 72 \mathrm{m}^{2} 72 m 2 and 50 m 2 50 \mathrm{m}^{2} 50 m 2 physics The speed of light is now defined to be 2.99792458 × 1 0 8 2.997 924 58 \times 10^8 2.99792458 × 1 0 8 m/s.Exercise 57. Exercise 58. Exercise 59. Exercise 60. Exercise 61. Exercise 62. Find step-by-step solutions and answers to Geometry - 9780133500417, as well as thousands of textbooks so you can move forward with confidence.Find step-by-step Geometry solutions and your answer to the following textbook question: The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas...The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratio of their areas. 6:1 Work with partners to create a Venn diagram representing the relationship among polygons, quadrilaterals, trapezoids, parallelograms, rhombuses, rectangles, and squares.Created by. Lisa Davenport. This self-grading, digital assignment provides students with practice identifying and using the ratio of the perimeter and ratio of the area of two similar figures .TpT will automatically add this form & file to your drive. You will also receive a PDF document that includes the exact same questions as the Google Form.An independent work packet for your students to practice all of the formulas and principals of finding the area and perimeters of different types of polygons. Students will use area formulas for rectangles, parallelograms, triangles, rhombuses, trapezoids and regular polygons. They will also relate a scale factor between similar figures to area ...When the figures are similar, we have by definition: For the area: A1 = (k ^ 2) * A2 For the perimeter P1 = k * P2 Note: The factor k is the same in both cases … The areas of two similar octagons are 112 in.² and 63 in.².The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas. See Problem 2. The figures in each pair are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of smaller parallelogram = 6 in. 2 equals . 6 in ...Similar Figures. Section 2.6: Perimeters and Areas of Similar Figures. Section 2.7: Dilations. Page 90: 2.5-2.7 Quiz. Page 91: Chapter Review Exercises. Page 96: ... With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence.

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Wyzant is IXL's tutoring network and features thousands of tutors who can help with math, writing, science, languages, music, hobbies, and almost anything else you can imagine. For all ages, children to adults. Improve your math knowledge with free questions in "Perimeters of similar figures" and thousands of other math skills.Unit 9: Perimeter and Area. Calculating area and perimeter are probably the two most common applications of geometry. For example, if you want to install some carpet you need to measure the size of your space so you know how much carpet you need to buy to cover it (in terms of square feet or square meters).area: The amount of space inside a figure. Area is measured in square units. Perimeter: Perimeter is the distance around a two-dimensional figure. Proportion: A proportion is an equation that shows two equivalent ratios. Ratio: A ratio is a comparison of two quantities that can be written in fraction form, with a colon or with the word “to ...In the above article, we have studied the meaning of similarity of triangles and the concept of area of similar triangles. Also, we have proved some theorems on the area of similar triangles and solved some example problems on the area of similar triangles. Frequently Asked Questions (FAQ) – Area of Similar Triangles. Q.1.How are the similarity ratio and the ratio of the areas related? Answer: The ratio of the areas is the square of the similarity ratio of the triangles. Problem 2 – Similar Figures In Problem 2, students will be asked to repeat the exercise for Problem 1 with similar quadrilaterals. The ratios of the perimeters and areas should be rounded to ...About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Areas: If the scale factor of the sides of two similar polygons is \(\dfrac{m}{n}\), then the ratio of the areas is \(\left(\dfrac{m}{n}\right)^2\) (Area of Similar …Students will be able to find the perimeters and areas of similar polygons. This video was created using Knowmia Teach Pro - http://www.knowmia.com/content... ….

Related questions with answers. The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratio of their areas. 5 : 1. The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratio of their areas. 2: 5 2:5.Find step-by-step Geometry solutions and your answer to the following textbook question: Find the scale factor and the ratio of perimeters for each pair of similar figures. two equilateral triangles with areas $$ 16 \sqrt { 3 }\ \mathrm { ft } ^ { 2 } \text { and } \sqrt { 3 }\ \mathrm { ft } ^ { 2 } $$.The ratio of the perimeters of two similar triangles is 3:2. One side length of the larger triangle is 12, find the corresponding side length of the smaller triangle. 15. Two similar hexagons have areas of 360 ft² and 250 ft². One side on the smaller hexagon is 12.5 ft. Find the corresponding side length on the larger hexagon. In Exercises, use the addition formulas for sine and cosine to simplify the expression. \sin 110^ {\circ} \cos 20^ {\circ}-\cos 110^ {\circ} \sin 20^ {\circ} sin110∘cos20∘ −cos110∘sin20∘. geometry. The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas..Study with Quizlet and memorize flashcards containing terms like A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?, Analyze the diagram below and complete the ...The scale factor of these similar triangles is 5 : 8. Example 3: The perimeters of two similar triangles is in the ratio 3 : 4. The sum of their areas is 75 cm 2. Find the area of each triangle. If you call the triangles Δ 1 and Δ 2, then. According to Theorem 60, this also means that the scale factor of these two similar triangles is 3 : 4.A Practice. See Problem 1. Find the area of each circle. ... 10-4 Perimeters and Areas of Similar Figures; 10-5 Trigonometry and Area; 10-6 Circles and Arcs; 10-7 Areas of Circles and Sectors; 10-8 Geometric Probability; 10 Chapter Test. 10 Cumulative Test Prep. Multiple Choice; Short Response;Practice 8-6 Class Perimeters and Areas of Similar Figures For each pair Of similar figures, find the ratio Of the perimeters and the ratio the areas. ... and 32 in.2 5. two squares with areas 81 cm2 and 25 cm2 : 6. two triangles with areas i 7. two and cm2 For each pair Of similar figures, the area Of figure is given. Find the area Of the larger …Similar Figures. Section 2.6: Perimeters and Areas of Similar Figures. Section 2.7: Dilations. Page 90: 2.5-2.7 Quiz. Page 91: ... At Quizlet, we’re giving you the ... Perimeters and areas of similar figures practice quizlet, theorem 5. area of a rhombus or a kite. The area of a rhombus or a kite is half the product of the lengths of its diagonals. postulate 1. If two figures are congruent, then their areas are equal. theorem 6. area of a regular polygon. The are of a regular polygon is the the product of the apothem and the perimeter. , Study with Quizlet and memorize flashcards containing terms like Please select the best response from the following selections. Find the similarity ratio and the ratio of the perimeters of two regular octagons with areas of 18 in2 and 50 in2. a. 3:5; 3:5 b. 9:25; 3:5 c. 3:5; 9:25 d. 9:25; 9:25 Please select the best answer from the choices provided, The figures are similar. The area of one ..., How are the similarity ratio and the ratio of the areas related? Answer: The ratio of the areas is the square of the similarity ratio of the triangles. Problem 2 – Similar Figures In Problem 2, students will be asked to repeat the exercise for Problem 1 with similar quadrilaterals. The ratios of the perimeters and areas should be rounded to ..., Wyzant is IXL's tutoring network and features thousands of tutors who can help with math, writing, science, languages, music, hobbies, and almost anything else you can imagine. For all ages, children to adults. Improve your math knowledge with free questions in "Perimeters of similar figures" and thousands of other math skills., Our resource for Big Ideas Math: Course 3, California Edition includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. About us., 8. The ratio of the perimeters of two similar triangles is 3:2. One side length of the larger triangle is 12, find the corresponding side length of the smaller triangle. 15 ft. Two similar hexagons have areas of 360 ft² and 250 ft². One side on the smaller hexagon is 12.5 ft. Find the corresponding side length on the larger hexagon., Perimeters And Areas Of Similar Figures Worksheet (with Answer Key) Step 1: Understand the problem. In our case, we have to find the area of a rectangle with 4 cm width and 8 cm height. Step 2: Find the area. To find the area, multiply the length by the width. A= l x w., Study with Quizlet and memorize flashcards containing terms like A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?, In the figure, AB is parallel to CD. If the ... , If two figures have a ratio of a: b a:b a: b, then the ratio of their perimeters is also a: b a:b a: b and the ratio of their areas is a 2: b 2 a^2:b^2 a 2: b 2. It is given that the smaller figure has a side length of 5 and the larger figure has a side length of 9. The ratio of the two figures (small to large) is then 5: 9 5:9 5: 9. , Unit 10 – Area This unit discusses areas of parallelograms, triangles, trapezoids, rhombuses, kites, and regular polygons. It also discusses circles, sectors, and perimeters and areas of similar figures. It also covers trigonometry and area, circles and arcs, lengths of arcs, area addition and subtraction, and geometric probability. , Ratio of Areas. A) 49/16 or 7²/4². B) 100/49 or 10²/7². C) 25/4 or 5²/2². Helpful Hint: 3. Recall from Chapter 7 and the second table above that the scale factor of two similar figures is the ratio of any two corresponding sides of the figures. Theorem 10.4-1 Perimeters and Areas of Similar Figures. If the scale factor of two similar ... , Calculating Area. Find the area of each rectangle from the previous Example. Then, find the ratio of the areas. A s m a l l = 10 ⋅ 16 = 160 u n i t s 2 A l a r g e = 15 ⋅ 24 = 360 u n i t s 2. The ratio of the areas would be 160 360 = 4 9. The ratio of the sides, or scale factor was 2 3 and the ratio of the areas is 4 9. , Find step-by-step solutions and answers to Big Ideas Math: Course 2 Accelerated, California Edition - 9781608406784, as well as thousands of textbooks so you can move forward with confidence., the ratio of the lengths of the corresponding sides of two similar polygons. Perimeter ratio. The ratio of the perimeter of two similar figures; is equal to the length/similarity ratio. Area Ratio. The ratio of the areas of two similar figures is the similarity ratio squared. Proportional Perimeters and Areas Theorem., The area of the smaller trapezoid is 564m^2 find the larger trapezoid to the nearest whole number. 3,181m^2. A rectangular napkin costs $3.25. A similar tablecloth is five times longer... $81.25. Study with Quizlet and memorize flashcards containing terms like Find the area. The figure is not drawn to scale, Find the area. , A Practice. See Problem 1. Find the area of each circle. ... 10-4 Perimeters and Areas of Similar Figures; 10-5 Trigonometry and Area; 10-6 Circles and Arcs; 10-7 Areas of Circles and Sectors; 10-8 Geometric Probability; 10 Chapter Test. 10 Cumulative Test Prep. Multiple Choice; Short Response;, If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding lengths. Theorem 8.3: Angle-Angle (AA) Similarity ∼Theorem. If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Theorem 8.4: Side-Side-Side (SSS) Similarity Theorem., The ratio of the perimeters of two similar triangles is 3:2. One side length of the larger triangle is 12, find the corresponding side length of the smaller triangle. 15 ft. Two similar hexagons have areas of 360 ft² and 250 ft². , Geometry. Area and Perimeter of Similar Figures. Proportional sides. Same shape. IXL S.10. IXL 6J7. Glencoe 10-5. Glencoe 10.5. Show more., What are Similar Figures? What is the Scale Factor? What is the Perimeter? The Relation between the Perimeter of the Sides of Similar Figures; What do we Mean by Area? The …, Find step-by-step Geometry solutions and your answer to the following textbook question: Find the similarity ratio and the ratio of perimeters for each pair of similar figures. Dwo parallelograms with areas 18 ${in.}^2$ and 32 ${in.}^2$., If two figures have a ratio of a: b a:b a: b, then the ratio of their perimeters is also a: b a:b a: b and the ratio of their areas is a 2: b 2 a^2:b^2 a 2: b 2. It is given that the smaller figure has a side length of 5 and the larger figure has a side length of 9. The ratio of the two figures (small to large) is then 5: 9 5:9 5: 9., If two figures have a ratio of a: b a:b a: b, then the ratio of their perimeters is also a: b a:b a: b and the ratio of their areas is a 2: b 2 a^2:b^2 a 2: b 2. It is given that the smaller figure has a side length of 5 and the larger figure has a side length of 9. The ratio of the two figures (small to large) is then 5: 9 5:9 5: 9. , A. 688.2 ft^2. What is the area of the regular octagon below? B. 229.1 m^2. What is the area of the triangle below? B. 8.6 ft^2. What is the area of the regular nonagon with a radius of 14 in. C. 566.9 in^2. What is the area of a regular 15-gon with a perimeter of 90 m? B. 635.1 m^2., Lesson 10-4 Perimeters and Areas of Similar Figures 553 Perimeters and Areas of Similar Figures Lesson 1-9 Find the perimeter and area of each figure. 1. 2. 3. Find the perimeter and area of each rectangle with the given base and height. 4. b =1 cm, h =3 cm 5. b =2 cm, h =6 cm 6. b =3 cm, h =9 cm 8 cm 6 cm 8 m 4 m 7 in. What You’ll Learn ... , Wyzant is IXL's tutoring network and features thousands of tutors who can help with math, writing, science, languages, music, hobbies, and almost anything else you can imagine. For all ages, children to adults. Improve your math knowledge with free questions in "Perimeters of similar figures" and thousands of other math skills., Find step-by-step Geometry solutions and your answer to the following textbook question: Find the scale factor and the ratio of perimeters for the pair of similar figures. two circles with areas $12 \pi$ in.$^{2}$ and $27 \pi$ in.$^{2}$. , A virtual lesson for a flipped classroom. This video covers the ratio of similar figures sides, perimeters, and areas. It then shows specific examples of how... , The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas. '; ' · - 1) 2) D 6mm 3 in. D Smm 6in. J__ I ~ ;q 'C7 \ I 10m 15m 3) 4) D D 8ft 20ft The figures in each pair are similar. The area of one figure is given. Find the area of the other figure to the nearest ..., Terms in this set (17) 8. The ratio of the perimeters of two similar triangles is 3:2. One side length of the larger triangle is 12, find the corresponding side length of the smaller triangle. 15 ft. Two similar hexagons have areas of 360 ft² and 250 ft². One side on the smaller hexagon is 12.5 ft. Find the corresponding side length on the ..., The area of plane figures is measured in ____. (two words) hypotenuse. If a right triangle is inscribed in a circle, then the diameter will be the triangle's _____. congruent chords. Two chords that are equidistant from the center of a circle, such as the sides of a regular polygon inscribed in the circle, are always ____. (two words) diagonals., If two figures have a ratio of a: b a:b a: b, then the ratio of their perimeters is also a: b a:b a: b and the ratio of their areas is a 2: b 2 a^2:b^2 a 2: b 2. It is given that the smaller figure has a side length of 5 and the larger figure has a side length of 9. The ratio of the two figures (small to large) is then 5: 9 5:9 5: 9., Unit 10 – Area This unit discusses areas of parallelograms, triangles, trapezoids, rhombuses, kites, and regular polygons. It also discusses circles, sectors, and perimeters and areas of similar figures. It also covers trigonometry and area, circles and arcs, lengths of arcs, area addition and subtraction, and geometric probability.