Congruent Right Triangles
Theorem 1: Leg-Leg Theorem: if the legs of one right triangle are congruent to the legs of another right triangle, then the two right triangles are congruent.
Theorem 2: Leg-Acute Angle Theorem: if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, then the two right triangles are congruent.
Theorem 3: Hypotenuse-Acute Angle Theorem: if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
Find out more about congruent triangles, read the explanation below.
Practice: Use tests for congruence of right and isosceles triangles by answering the following exercises.