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Triangle Congruence
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Congruence in Right Triangles

Theorem. Hypotenuse-Acute Angle (HA) Congruence Theorem
If the hypotenuse and one acute angle of a right triangle are congruent to the corresponding hypotenuse and acute angle of another right triangle, then the two right triangles are congruent.

Given: Right triangles RST and XYZ with right angles RST and XYZ, respectively
RT ¯ XZ ¯
RTSXZY
Prove: ΔRSTΔXYZ

Proof: