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Elementary Geometry for College St...

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

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 21 to 24, the triangles named can be proved congruent. Considering the congruent pairs marked, name the additional pair of parts that must be congruent in order to use the method named.

ASA

Chapter 3.1, Problem 22E, In Exercises 21 to 24, the triangles named can be proved congruent. Considering the congruent pairs

Δ W V Y Δ Z V X

To determine

To prove:

The pair of parts in the triangles that must be congruent in order to use the ASA method to congruent the triangle.

Explanation

ASA is a method to find whether the triangle is congruent.

Here, S stands for side and A stands for the angle.

Given:

The given figure is,

Figure (1)

From figure (1).

WV¯VZ¯

And,

mWmZ

Approach:

Consider the triangles,

ΔWVY and ΔZVX

Then, for the congruent of triangles the given method ASA must satisfy. As,

mWmZWV¯VZ¯

For ASA method to satisfy two angles and one side must be congruent

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