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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

By naming the vertices in order, state three different triangles that are similar to each other.

Exercises 1-6

To determine

To Find:

The proof of similarity of triangles.

Explanation

Given figure,

From the figure,

ΔRST is a right triangle with right angle S, and SV¯ is the altitude to TR¯.

Proof Statements
1 SV¯ is the altitude to TR¯.
Given
2 SV¯TR¯ An altitude is a segment from a vertex and perpendicular the opposite side.
3 RVS and SVT are right angles Angles forms by perpendicular lines are perpendicular
4 S is a right angle Given
5 RVSSVTS Right angles are congruent
6</

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