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Diagonals of Parallelogram Bisect Each Other

In  this post, we show that the diagonals of a parallelogram bisect each other. We will use the fact that the diagonal of a parallelogram is a transversal to the opposite sides of the parallelogram....

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The Right Triangle Leg Leg Congruence Theorem

The Right Triangle Leg Leg Congruence Theorem is a theorem for right triangles that says if the two corresponding shorter legs of two right triangles are congruent, then the two triangles are...

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Sample Proof on Triangle Congruence Part 1

We have discussed triangle congruence and in this series, we are going to use the congruence theorems in order to prove that two triangles are congruent. Given Prove Proof  We can see that there are...

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Sample Proof on Triangle Congruence Part 2

This is the second part on a series of posts on worked proofs in Triangle Congruence. In this post, we prove another problem. Given: and bisect each other at . Prove:   Proof A bisector divides a...

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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...

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