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Chapter 7: Problem 40

What are corresponding angles in similar triangles?

Short Answer

Expert verified
Corresponding angles in similar triangles are those angles that are located at the same relative positions in each triangle. They are equal in measure.

Step by step solution

01

Define Similar Triangles

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

Define Corresponding Angles

Corresponding angles are the angles at the same relative positions within different polygons. In simple terms, they are the 'matching' angles of two or more polygons.
03

Connect the Concepts

Thus, in similar triangles, corresponding angles are those angles that are located at the same relative positions in each triangle. In other words, each angle in one triangle is equal in measure to the 'matching' angle in the other triangle.

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Most popular questions from this chapter

Add or subtract as indicated. Simplify the result, if possible. $$\frac{y^{2}-6}{y^{2}+9 y+18}-\frac{y-4}{y+6}$$

Add or subtract as indicated. Simplify the result, if possible. $$\frac{x}{x^{2}-10 x+25}-\frac{x-4}{2 x-10}$$

Perform the indicated operation or operations. Simplify the result, if possible. $$\frac{x+8}{x^{2}-9}-\frac{x+2}{x+3}+\frac{x-2}{x-3}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{2}{x}+1=\frac{2+x}{x}, x \neq 0$$

Add or subtract as indicated. Simplify the result, if possible. $$\frac{9 x+3}{x^{2}-x-6}+\frac{x}{3-x}$$
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