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°
2 draw 2 polygons that are similar but could be mistaken for not being similar. explain why they are similar.

Explanation:

Step1: Recall the property of similar triangles

When a triangle is dilated, the resulting triangle is similar to the original triangle. Similar triangles have congruent corresponding angles.

Step2: Determine the angle measure

Since triangle \(DEF\) is a dilation of triangle \(ABC\), they are similar. The largest angle of triangle \(ABC\) is \(82^{\circ}\). By the property of similar triangles (corresponding angles are equal), the largest angle of triangle \(DEF\) is also \(82^{\circ}\).

Answer:

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