How to prove triangles are congruent SAS and HL

0/1

0/6

Write a two-column proof.
1. Given: R is the midpoint of $\overline {MP}$ .
  R is the midpoint of $\overline {NQ}$ .
  Prove: $\triangle MRN$ $\cong$ $\triangle PRQ$
2. Special case for right triangle:
  Given: $\triangle ABC$ is an isosceles triangle.
  D is the midpoint of $\overline {AC}$ .
  Prove: $\triangle ABD$ $\cong$ $\triangle CBD$ .
Write a flow proof
1. Given: R is the midpoint of $\overline {MP}$ .
  R is the midpoint of $\overline {NQ}$ .
  Prove: $\triangle MRN$ $\cong$ $\triangle PRQ$
2. Special case for right triangle:
  Given: $\triangle ABC$ is an isosceles triangle.
  D is the midpoint of $\overline {AC}$ .
  Prove: $\triangle ABD$ $\cong$ $\triangle CBD$ .
Is there enough information given to prove the following triangles are congruent? If so, explain your reasoning and point out the theorem or postulate you use.

Triangles congruent by SAS and HL proofs