Name No. Geometry 7-3 1) Two similar polygons are shown. Find the values of x, y, and z

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1 Name No. Geometry 7-1 1) The sides of a triangle with perimeter 55 are in the ratio of 2:4:5. Find the length of the shortest side. 1) Two similar polygons are shown. Find the values of x, y, and z Name No. Geometry 7-2 1) Solve for x x+ 1 x+ 5 = x 2 x 6 Name No. 2) The perimeters of two similar polygons are 20 and 28. One side of the smaller polygon has length 4. Find the length of the corresponding side of the larger polygon. Name No. Geometry 7-2 KR KS 2) Given =, KT = 12, KS = 10, SU = 5, RT SU find KR Name No. 3) Are two regular hexagons always, sometimes, or never similar?

2 1) Two similar polygons are shown. Find the values of x, y, and z Name No. Geometry 7-1 1) The sides of a triangle with perimeter 55 are in the ratio of 2:4:5. Find the length of the shortest side. Name No. 2) The perimeters of two similar polygons are 20 and 28. One side of the smaller polygon has length 4. Find the length of the corresponding side of the larger polygon. Name No. Geometry 7-2 1) Solve for x x+ 1 x+ 5 = x 2 x 6 Name No. 3) Are two regular hexagons always, sometimes, or never similar? Name No. Geometry 7-2 KR KS 2) Given =, KT = 12, KS = 10, SU = 5, RT SU find KR

3 1) Name No. 1) Name two similar triangles and the theorem or postulate that justifies your answer. 2) Find the values of x and y 2) Given two triangles, ΔABC, ΔTRI with AB = 6, BC = 8, AC = 10, TR = 10, RI = 7.5, TI=12.5, determine if they are similar triangles and if so, state: a. the similarity b. the reason c. the scale factor 3) At a particular time of the afternoon, a 16-foot tower casts a 21-foot shadow. How tall is a building that casts a 56-foot shadow at the same time? 3) Given two triangles, ΔDEF, ΔGHI with DE EF =, and E H. GH HI Prove: EF = DF HI GI

4 Name No. 1) Name two similar triangles and the theorem or postulate that justifies your answer. 1) 2) Given two triangles, ΔABC, ΔTRI with AB = 6, BC = 8, AC = 10, TR = 10, RI = 7.5, TI=12.5, determine if they are similar triangles and if so, state: 2) Find the values of x and y a. the similarity b. the reason c. the scale factor 3) Given two triangles, ΔDEF, ΔGHI with DE EF =, and E H. GH HI Prove: EF = DF HI GI 3) At a particular time of the afternoon, a 16-foot tower casts a 21-foot shadow. How tall is a building that casts a 56-foot shadow at the same time?

5 1) Find the value of x 1. Write the ratio of two numbers, a and b three different ways: 2. A proportion is an equation stating that two are equal. It is solved by crossmultiplying. 2) Given AC = 60, CD = 30, and AD = 50, find BC 3. Similar figures have the same. 4. Two polygons are similar if and only if all corresponding angles are and corresponding sides are in. 5. There are 3 ways to prove two triangles are similar: 3) Tell whether each proportion is correct 6. Ways to show that segments are proportional: a. corresponding sides of similar polygons are in b. if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides a. d = g b. f e f e g = d c. g e f = d d. d = e f g c. if three parallel lines intersect two transversals, they divide the transversals d. if a ray bisects an angle of a triangle, then it divides the opposite side into two segments to the other two sides.

6 1. Write the ratio of two numbers, a and b three different ways: 1) Find the value of x 2. A proportion is an equation stating that two are equal. It is solved by crossmultiplying. 3. Similar figures have the same. 4. Two polygons are similar if and only if all corresponding angles are and corresponding sides are in. 2) Given AC = 60, CD = 30, and AD = 50, find BC 5. There are 3 ways to prove two triangles are similar: 6. Ways to show that segments are proportional: a. corresponding sides of similar polygons are in 3) Tell whether each proportion is correct b. if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides c. if three parallel lines intersect two transversals, they divide the transversals d. if a ray bisects an angle of a triangle, then it divides the opposite side into two segments to the other two sides. a. d = g b. f e f e g = d c. g e f = d d. d = e f g

7 Name No. Algebra Review 7: Graphing Parabolas 2 1) Graph y = 2x 8x 10 and identify the vertex.

8 Name No. Algebra Review 7: Graphing Parabolas 2 1) Graph y = 2x 8x 10 and identify the vertex.

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