Question

triangle def is a dilation of triangle abc with scale factor 2. in triangle abc, the largest angle measures 82°. what does the largest angle measure in triangle def?
a 41°
b 82°
c 98°
d 164°

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not its shape. Angles remain congruent in a dilation.

Step2: Apply the property to the problem

Since triangle \(DEF\) is a dilation of triangle \(ABC\), the measure of the largest angle in \(\triangle DEF\) is the same as the measure of the largest angle in \(\triangle ABC\).

Answer:

B. \(82^{\circ}\)