Chapter 12.6, Problem 28E

To determine

To find: Whether the argument is correct or not.

Answer to Problem 28E

The friend is correct.

Explanation of Solution

Given:

Consider the following argument:

Your friend claims to be able to rewrite any proof that uses the MS Congruence Theorem as a proof uses the ASA Congruence Theorem.

Calculation:

The objective is to explain your reasoning

Your friend is correct.

The AAS Congruence Theorem and the ASA Congruence Theorem are used to prove that two triangles are congruent, and both require two pairs of corresponding angles to be congruent.

In order to use the MS Congruence Theorem one pair of corresponding non-included sides must also be congruent.

In order to use the ASA Congruence Theorem the pair of corresponding included sides must be congruent.