Geometry study guide

Question

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = .

Part A: Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ACB. You must show all work and calculations to receive full credit. (5 points)

Part B: Explain how to find the measures of segments CB and AB. You must show all work and calculations to receive full credit.

Answer 1

AC AB CB

---- = ----- = ------ = 2

XY XZ YZ

Sinx = YZ = 5

----- -----

XZ 5.59

so YZ = 5 and XZ = 5.59

CB = 2 so CB = 2 and CB = 10

----- ----

YZ 5

AB = 2 so AB = 2 and AB = 11.18

---- -----

XZ 5.59