(c) What theorem could you now use to conclude that $$ riangle B M C $$ and $$ riangle E M F $$ are congruent to the four from part(b)? Explain.

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(c) What theorem could you now use to conclude that $$ 	riangle B M C $$ and $$ 	riangle E M F $$ are congruent to the four from part(b)? Explain.

UpStudy AI · Accepted Answer

To conclude that $$ 	riangle B M C $$ and $$ 	riangle E M F $$ are congruent to the four triangles from part (b), we can use the Side-Side-Side (SSS) congruence theorem.

The SSS congruence theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

In this case, we have the following congruent sides:
- $$ B M = E M $$
- $$ M C = M F $$
- $$ B C = E F $$

Therefore, by the SSS congruence theorem, we can conclude that $$ 	riangle B M C $$ and $$ 	riangle E M F $$ are congruent to the four triangles from part (b).
To conclude that $$ 	riangle B M C $$ and $$ 	riangle E M F $$ are congruent to the four triangles from part (b), we can use the Side-Side-Side (SSS) congruence theorem. This theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Given that $$ B M = E M $$, $$ M C = M F $$, and $$ B C = E F $$, we can apply the SSS theorem to confirm the congruence.

© What theorem could you now use to conclude that and are congruent to the four from part(b)? Explain.

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