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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
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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