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The four congruence theorem for right triangles are:
- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.
- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.
- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

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Q: What are the four congruence theorems for a right triangle?
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What are the four congruence postulates?

The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.


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