Chapter 5.4, Problem 1E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### 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,

Î”RST is a right triangle with right angle âˆ S, and SVÂ¯ is the altitude to TRÂ¯.

 Proof Statements 1 SVÂ¯ is the altitude to TRÂ¯. Given 2 SVÂ¯âŠ¥TRÂ¯ An altitude is a segment from a vertex and perpendicular the opposite side. 3 âˆ RVS and âˆ SVT are right angles Angles forms by perpendicular lines are perpendicular 4 âˆ S is a right angle Given 5 âˆ RVSâ‰…âˆ SVTâ‰…âˆ S Right angles are congruent 6</

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