   Chapter 5.2, Problem 6E Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem

In Exercises 5 and 6, refer to the drawing.a) If △ A B C ∼ △ X T N , which angle of △ A B C corresponds to ∠ N of △ X T N ? b) If △ A B C ∼ △ X T N , which side of △ X T N corresponds to side A C ¯ of △ A B C ? To determine

a)

To find:

The angle in ΔABC that corresponds to N of ΔXTN.

Explanation

Definition used:

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

Given:

The triangles ABC and XTN are similar.

Calculation:

We have ΔABCΔXTN.

Thus the corresponding angles are congruent.

That is AX,BT,CN

To determine

b)

To find:

The side in ΔXTN that corresponds to side AC¯ of ΔABC.

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