Another Proof of the Hypotenuse Leg Theorem

Given two triangles, if their hypotenuse are congruent, and one pair of their legs are congruent then the two triangles are congruent. In this post, we are going to prove this theorem. In the figure below, ABC and DEF are right triangles with right angles at CĀ and F, respectively. It is given that and . […]
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Sample Proof on Triangle Congruence Part 3

Recall that for real numbers a, b, and c are real numbers, if and , then . This is called Transitive Property of Equality. This is also the same with congruence. If , , and are polygons, and if is congruent to , and is congruent , then is congruent to . This is called […]
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The Proof of the Hypotenuse Leg Theorem

The Hypotenuse Leg Theorem states that if the hypotenuse and one leg of a triangle are congruent to the hypotenuse and leg of another triangle, then the two triangles are congruent. In the figure above, and are right triangles with right angles at and and with and . We are going to show that the […]
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