Chapter 3.1, Problem 23E

Elementary Geometry for College St...

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

Chapter
Section

Elementary Geometry for College St...

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

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.SSS Î” M N O â‰… Î” O P M

To determine

To prove:

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

Explanation

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

Here, S stands for side.

Given:

The given figure is,

Figure (1)

From figure (1),

MNÂ¯â‰…OPÂ¯

And,

MPÂ¯â‰…ONÂ¯

Approach:

Consider the triangles,

Î”MNO and Î”OPM.

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

MNÂ¯â‰…OPÂ¯MPÂ¯â‰…ONÂ¯

For SSS method to satisfy all three sides of triangles must be congruent

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