Quiz 6-1: Ratios & Similar Figures

1. The ratio of the measures of the three angles in a triangle is 14:5:11. What are the measures of the angles?

• 126°, 45°, 99°

• 70°, 50°, 60°

• 84°, 30°, 66°

• 90°, 45°, 45°

The ratio of the measures of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, what is the length of the shortest side?

• 42 inches

• 57 inches

• 81 inches

• 133 inches

If the figures below are similar, find the scale factor of Figure B to Figure A.

• 1/2

• 2

• 3/2

• 1/3

If ΔPQR ~ ΔVST with a scale factor of 2:5, find the value of x.

• 2

• 11.2

• 4

• Cannot be determined

If ΔABC ~ ΔVWV, find the values of x and y.

• x = 4, y = 6

• x = 6, y = 4

• x = 17.5, y = 19.2

• x = 7, y = 5

If ΔPQR ~ ΔUTV, find the value of x.

If ΔGFE ~ ΔCBE, find FE. (Refer to the diagram with triangles GFE and CBE, where GE = 6, EF = 4x - 1, FG = x + 5, CB = 24, BE = 0)

• FE = 11

• FE = 8

• FE = 35

• FE = 6

If ΔSDE ~ ΔSWT, find WT. (Refer to the diagram with triangles SDE and SWT, where SD = 5, DE = 4, ES = 6, WT = 4x - 3, TW = 5x + 3)

• WT = 63

• WT = 7

• WT = 11

• WT = 13

If ΔGFE ~ ΔGHJ, find the value of x. (Refer to the diagram with triangles GFE and GHJ, where GE = 12, EF = x + 6, FG = 7.5, HJ = 2x + 1)

• x = 2

• x = 3

• x = 4

• x = 5

ΔXZW ~ ΔXYV, find the perimeter of ΔXZW.

• Perimeter of ΔXZW = 176.4

• Perimeter of ΔXZW = 90

• Perimeter of ΔXZW = 120

• Perimeter of ΔXZW = 80