Given:
- R is the midpoint of AY and
- MR⊥AY
We got two right triangles with common side and equal corresponding sides and we'll prove they are congruent by SAS.
Statement Reason
- R is the midpoint of AY Given
- MR ⊥ AY Given
- AR = YR Definition of a midpoint
- ∠MRA is a right angle Definition of perpendicular
- ∠MRY is a right angle Definition of perpendicular
- ∠MRA ≅ ∠MRY Transitive property
- MR = MR Reflective property
- ΔMAR ≅ ΔMYR SAS congruence