Question

triangle bcd was dilated using the rule (d_{a,\frac{1}{2}}). what are the values of the unknown measures? (mangle cbd=) (cq = ) (bd=)

Explanation:

Step1: Recall dilation property

Dilation preserves angle - measures. So \(m\angle C'B'D'=m\angle CBD = 51^{\circ}\).

Step2: Find \(B'D'\)

The scale factor is \(\frac{1}{2}\). Given \(BD = 22\), then \(B'D'=\frac{1}{2}\times22 = 11\).

Answer:

\(m\angle C'B'D' = 51\), \(B'D'=11\)