Question

4.4 assignment
decide whether enough information is given to prove that the triangles are congruent. if there is enough information, state the congruence
postulate or theorem you would use.
△mno and △ron
yes, sss
yes, sas
yes, hl
no

Explanation:

Step1: Identify the type of triangles

Both $\triangle MNO$ and $\triangle RON$ are right - angled triangles (as there are right - angle symbols at $\angle O$ and $\angle N$).

Step2: Check the congruence conditions

We know that in right - angled triangles, the Hypotenuse - Leg (HL) congruence theorem states that if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two triangles are congruent. Here, $MN = RN$ (marked as equal) and $ON$ is a common leg.

Answer:

Yes, HL