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Chapter 10: Problem 52

What are corresponding angles in similar triangles?

Short Answer

Expert verified
Corresponding angles in similar triangles are the angles that are in the same relative positions in the triangles. These angles are always equal.

Step by step solution

01

Definition of Similar Triangles

Similar triangles are triangles that have the same shape but not necessarily the same size. This means all their angles are equal and their sides are in the same proportion.
02

Identifying Corresponding Angles

Corresponding angles in similar triangles are angles that are in the same relative position in both triangles. For example, in two similar triangles ABC and DEF, angle A corresponds to angle D, angle B corresponds to angle E, and angle C corresponds to angle F.
03

Properties of Corresponding Angles

One key property of corresponding angles in similar triangles is that they are always equal. So in our example, angle A equals angle D, angle B equals angle E, and angle C equals angle F. This holds true for any pair of similar triangles.

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