Need Help ASAP Please

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. (5 points)

Answer 1

The dilated triangle is similar to the original triangle, so corresponding sides are proportional and corresponding angles are congruent. Since the scale factor is 2, each side of the larger triangle is twice as long as the corresponding side of the smaller triangle. So, for example, AC = 2(XY) and ∠Z ≅ ∠B.