Question

Decide whether enough information is given to prove that △LMP≅△NPM using the SSS Congruence Theorem. You are given LM≅__ and you can see that PM≅__ by the ___. So, the triangles ___ be proven congruent using the SSS Congruence Theorem.

a) Sufficient, side-side-side, can
b) Not sufficient, side-angle-side, cannot
c) Sufficient, side-side-side, cannot
d) Not sufficient, angle-side-angle, can

Answer 1

There is not enough information to prove congruence using the SSS Congruence Theorem.

Step-by-step explanation:

The question asks whether there is enough information to prove that triangle LMP is congruent to triangle NPM using the SSS Congruence Theorem.

In order to prove congruence using the SSS Congruence Theorem, we need to know the lengths of all three sides of both triangles.

From the given information, we can only see that LM is congruent to a side on triangle NPM. We do not have any information about the lengths of the other two sides of triangle NPM. Therefore, we cannot prove congruence using the SSS Congruence Theorem.