8.1 Practice A. Name Date. Then find the area of XYZ. to the perimeter of XYZ.
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1 ame ate.1 ractice In ercises 1 and 2, find the scale factor. hen list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality GH G 3 4 H 1 In ercises 3 and 4, the polygons are similar. ind the value of. 3. U In ercises 11,.. ind the scale factor of to. 6. ind m. 7. ind.. ind the area of. hen find the area of. 9. ind the ratio of the area of to the area of ind and. plain your reasoning. 11. ind the ratio of the perimeter of to the perimeter of.. ou are building a roof on a garage such that the gable of the house is similar to the gable of the garage as shown in the diagram. he area of the gable on the house is 3024 square feet. ind the area of the gable on the garage. 42 ft House gable 14 ft Garage gable 264 Geometry opyright ig Ideas earning, esources by hapter ll rights reserved.
2 ame ate.1 ractice In ercises 1 and 2, find the scale factor. hen list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality. 1. HIJ 2. U 36 J 4 6 U H 27 I In ercises 3 and 4, the polygons are similar. ind the value of In ercises and 6, the figures are similar. ind the missing corresponding side length.. igure has a perimeter of 60 inches and one of the side lengths is inches. igure has a perimeter of 4 inches. 6. igure has an area of 492 square feet and one of the side lengths is feet. igure has an area of 77 square feet. 7. In the diagram,. a. ind the scale factor from to. b. ind the value of. c. ind m. d. he perimeter of is about 42.4 units. ind the perimeter of the e. he area of is about 71.7 square units. ind the area of the. f. Is? plain your reasoning. opyright ig Ideas earning, ll rights reserved. Geometry esources by hapter 26
3 ame ate.2 ractice In ercises 1 and 2, determine whether the triangles are similar. If they are, write a similarity statement. plain your reasoning G H In ercises 3 and 4, show that the two triangles are similar. 3. and 4. and. In the diagram, a. Is? plain your reasoning. b. how that. 40 c. ind m. d. ind. e. ind. plain your reasoning. In ercises 6 and 7, is it possible for and to be similar? plain your reasoning. 6. m = 43, m = 61, m = 61, and m = and are right angles and.. Use the figure to write a two-column proof. Given: rove: opyright ig Ideas earning, ll rights reserved. Geometry esources by hapter 269
4 ame ate.2 ractice In ercises 1 and 2, determine whether the triangles are similar. If they are, write a similarity statement. plain your reasoning K J 42 In ercises 3 and 4, show that the two triangles are similar. 3. G and 4. and G In ercises and 6, is it possible for and to be similar? plain your reasoning.. and are supplementary and and are complementary. 6. m = 7 and m = 7. our friend claims that if you know three angles of one quadrilateral are congruent to three angles of another quadrilateral, then the two quadrilaterals are similar. Is your friend correct? plain your reasoning.. he height of the mpire tate uilding is 0 feet tall. our friend, who is 6 feet 3 inches tall, is standing nearby and casts a shadow that is 33 inches long. hat is the length of the shadow of the mpire tate uilding? 9. Use the figure to write a two-column proof. Given: and are right angles. rove:. Use the figure to write a two-column proof. Given: rove: 270 Geometry opyright ig Ideas earning, esources by hapter ll rights reserved.
5 ame ate.3 ractice 1. etermine whether or is similar to In ercises 2 and 3, find the value of that makes JK J K 13. J 3 K 4. erify that U. ind the scale factor of U to. U: U =, U = 21, = 1 : = 3, = 49, = 42 In ercises and 6, show that the triangles are similar and write a similarity statement. plain your reasoning G 21 In ercises 7 11, use the diagram to copy and complete the statement. 7.. m = m =. m = 11. = In the figure for ercises 7 11, is? plain your reasoning Use the figure to write a two-column proof. Given: = rove: 274 Geometry opyright ig Ideas earning, esources by hapter ll rights reserved.
6 ame ate.3 ractice In ercises 1 and 2, find the value of that makes erify that JK. ind the scale factor of JK to. JK: JK =, K = 30, J = 2 : =, = 24, = In ercises 4 and, show that the triangles are similar and write a similarity statement. plain your reasoning has side lengths 42, 21, and 3 units. he shortest side of a triangle similar to is 9 units long. ind the other lengths of the triangle. 7. Use the figure to find the values of, y, and z that makes GH y H 14 2( 4) 6z + G Use the figure to write a two-column proof. Given: = rove: 9. Given: = 2 = 2y = = y rove: 2 y 2y opyright ig Ideas earning, ll rights reserved. Geometry esources by hapter 27
7 ame ate.4 ractice In ercises 1 and 2, find the length of In ercises 3 and 4, determine whether In ercises and 6, find the length of the indicated line segment.. 6. HJ 6 H G 3 I J 1 K In ercises 7 and, find the value of the variable. 7.. z 13 2 a he diagram shows the skyline of a city. ind the distance between point and point for which. plain your reasoning. 0 ft 320 ft 0 ft opyright ig Ideas earning, ll rights reserved. Geometry esources by hapter 279
8 ame ate.4 ractice In ercises 1 and 2, find the length of the indicated line segment U 21 2 In ercises 3 and 4, find the value of the variable d y 20. he figure shows parallelogram, where and are the midpoints of and respectively. our friend claims that is parallel to and by the hree arallel ines heorem (heorem.). Is your friend correct? plain your reasoning. 6. he figure shows a triangle such that the length of is nine less than twice the length of. o you have enough information to find and? plain your reasoning. If so, find and Use the diagram to write a two-column proof. Given: bisects. bisects. rove: is a kite. 20 Geometry opyright ig Ideas earning, esources by hapter ll rights reserved.
Name Date P R U. In Exercises 4 7, find the indicated measure. Explain your reasoning. D 4x + 5 C I
ame ate 6.1 ractice In xercises 1 3, tell whether the information in the diagram allows you to conclude that point lies on the perpendicular bisector of, or on the angle bisector of. xplain your reasoning.
7 or 1.17 as your ratio of the lengths when
.5. What id You Learn? ore Vocabular directed line segment, p. 50 ore oncepts Section.5 Side-Side-Side (SSS) Similarit heorem, p. 9 Side-ngle-Side (SS) Similarit heorem, p. 9 Section. riangle Proportionalit
Lesson 11.1 Similar Polygons
esson 11.1 imilar olgons ame eriod ate ll measurements are in centimeters. 1. HI W. U I H I I I W 1 m m U 1 m I 0 1 0 U. op onto our paper. Use a compass and straightedge to construct a similar quadrilateral
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1.1 Practice A. Name Date. and plane X not intersecting. In Exercises 1 3, use the diagram. 1. Name two points. 2. Name two lines.
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NAME DATE PERIOD. 10. The ratio of the measures of the sides of a triangle is 3:4:6, and its perimeter is 104 feet.
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Name: ate: 1 What are and? Each angle measure is in degrees.,,,, 2 MO bisects angle LMN. ngle LMO = 8x 23. ngle NMO = 2x + 37 Solve for x and find angle LMN. x = 9, x = 9, x = 10, x = 10, 3 What is the
Name Date. In Exercises 1 and 2, find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.
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