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 |
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Prove: |

Proof:
