Question

for the triangles shown, triangle abc is dilated by a scale factor of 3 to obtain triangle xyz, where d = 19. what is the measure, in degrees, of angle x? note: figure not drawn to scale. a 20 b 57 c 60 d 63

Explanation:

Step1: Recall dilation property

Dilation preserves angle - measures. When a triangle is dilated, the corresponding angles of the original triangle and the dilated triangle are equal.

Step2: Identify corresponding angles

Angle \(A\) in \(\triangle ABC\) corresponds to angle \(X\) in \(\triangle XYZ\). Given that \(\angle A = 60^{\circ}\), then \(\angle X=60^{\circ}\).

Answer:

B. 60