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1 Copyright 2014 Edmentum - All rights reserved. Geometry Trigonometry Blizzard Bag Triangle EFG is similar to HJI. If e = 5.2 cm, f = 5.8 cm, g = 4 cm, and h = 10.4 cm, what is the measure of j? A. 8 cm B cm C cm D cm 2. Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Triangle ABC is defined by coordinates A(-4,2), B(-2,4), and C(-2,-2). If triangle ABC is similar to triangle DEF, then complete the following set of coordinates. If there is more than one set of correct coordinates for point D, then input any of the correct coordinates. D(, ), E(2,1), and F(-1,1)

2 3. Line QR has undergone a dilation. The measure of QR is 37.5 cm, and the measure of Q'R' is 25 cm. Which scale factor was used for the dilation? A. B. C. 3 D Triangle STU and triangle S'T'U' are given on the coordinate plane below. Which sequence of transformations below shows that triangle STU is similar to triangle S'T'U'? A. Triangle STU is not similar to triangle S'T'U'. B. Triangle STU was reflected about side SU, translated five units to the right and nine units up, and dilated with a center of dilation at vertex S to create triangle S'T'U'. C. Triangle STU was dilated with a center of dilation at vertex U, reflected about side SU, and translated five units to the right and twelve units up to create triangle S'T'U'. D. Triangle STU was dilated with a center of dilation at vertex U, translated five units to the right and twelve units up, and reflected about side TU to create triangle S'T'U'.

3 5. Triangle QRS is similar to QTU. If k = 2.4 cm, j = 2 cm, m = 1.8 cm, and f = 3 cm, what is the measure of h? A. 2.5 cm B. 3.3 cm C. 3.6 cm D. 4 cm 6. With the information given on the triangles below, determine how the triangles can be shown to be similar. A. The triangles are not similar to each other. B. The triangles are similar by SSS. C. The triangles are similar by SAS.

4 D. The triangles are similar by AA. 7. If the circle above is dilated using a scale factor of 4, what will be the radius of the resulting circle? A. units B. units C. D. units units

5 8. Directions: Select all the correct answers. Consider the figures graphed on the coordinate plane below. Which polygons are similar to polygon ABCD? Polygon WXYZ Polygon KLMN Polygon PQRS Polygon EFGH

6 9. Which of the following shows a dilation of the figure shown above from a point that does not lie on one of the sides of the figure? W. X. Y. Z.

7 A. X B. Z C. Y D. W 10. In the triangles below, x y, e = f = 9 inches, and h = i = inches. If g = 12.6 inches, what is the measure of j? A in B in C in D in 11. Figure JKLMN was changed to create figure PQRST. Determine if figure JKLMN is similar to figure PQRST. A. Figure JKLMN is not similar to figure PQRST because geometric stretch (x,y) to (2x,3y) maps figure JKLMN to figure PQRST. B. Figure JKLMN is not similar to figure PQRST because geometric stretch (x,y) to (3x,2y) maps figure JKLMN to figure PQRST.

8 C. Figure JKLMN is similar to figure PQRST because dilation (x,y) to (3x,3y) maps figure JKLMN to figure PQRST. D. Figure JKLMN is similar to figure PQRST because dilation (x,y) to (2x,2y) maps figure JKLMN to figure PQRST. 12. Xavier Designs has the logo shown below on their office door. The logo has two smaller congruent triangles that are similar to two larger congruent triangles. If w = inches, x = 15 inches, y = 4.5 inches, a = 18 inches, and b = 18 inches, what is the area of the space around the triangles on the logo? A in 2 B in 2 C in 2 D in Note: picture not drawn to scale

9 Given: JKL and FGH are isosceles triangles. The length of FG is 24 units. The length of GH is 13 units. The length of JL is (4x + 8) units. If JKL is congruent to FGH, what is the value of x? A. x = 4 B. x = 8 C. x = 24 D. x = 9

10 14. A sticker on the rear window of a truck is rectangular in shape with two green triangular sections, as shown below. The two triangles are similar. If AB = 12 cm, BC = 6 cm, and EF = 4.5 cm, what is the total area for both triangles? A cm 2 B cm 2 C cm 2 D cm With the information given below, determine how triangle TUD can be shown to be similar to triangle SUY. TU = 9 cm, DU = 12 cm, ST = 6 cm, and YD = 8 cm Picture not drawn to scale. A. The triangles are similar by SAS. B. The triangles are similar by SSS. C. The triangles are not similar to each other. D. The triangles are similar by AA.

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