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8th Ch 9 Practice Quiz Name ______________________________ Date ________________ Period _____ 1.Suppose that . a. Identify the corresponding angles. b. Determine the measurement(s). ∠ J corresponds to angle ∠ P ∠ K corresponds to angle ∠ Q ∠ L corresponds to angle ∠ R b. State the relationships between the corresponding angles. ∠ J≅∠P ∠ K ≅∠Q ∠ L≅∠R 3. Triangle ABC has vertices with coordinates A(2, 5), B(4, 2), and C(2, 2). a. Dilate on the coordinate plane using point C as the center of dilation and a scale factor of 3 to form . c. Identify the corresponding sides. ∠ JK corresponds to angle ∠ PQ ∠ KL corresponds to angle ∠ QR ∠ JL corresponds to angle ∠ PR d. State the relationship between the lengths of the corresponding side JK ≅ KL ≅ JL PQ QR PR e. Determine the lengths of inches, inches, and inches. and if inches, b. What are the coordinates of points ? and c. Is the dilation an enlargement or a reduction? Explain your reasoning. 2. Given centimeters, centimeters. with centimeters, and a. What other measurement(s) can you determine? Explain how you know. d. Describe the relationship between the corresponding angles of the original triangle, , and the image resulting from the dilation, . e. Describe the relationship between the sides of the original triangle, , and the image resulting from the dilation, . 8th Ch 9 Practice Quiz Name ______________________________ Date ________________ Period _____ 4. Given must be true? . Which statement 8. Given inches, and with inches. inches, a. b. c. d. Which is the length of 5. Triangle ABC is dilated to produce triangle with scale factor . Which describes the relationship between the two triangles? a. b. c. d. is an enlargement of is a reduction of is a mirror image of . 6. What is the name of the point from which a dilation is drawn? a. b. c. d. Which is a correct conclusion? a. the vertex the center of dilation the origin of dilation the corner 7. Suppose , , and Which is a correct similarity statement? a. b. c. d. 3.6 inches 2.4 inches 8.1 inches 4 inches 9. Triangle XYZ has been enlarged with P as the center of dilation and scale to form triangle . . . a. b. c. d. ? b. c. d. .