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 C and F, respectively. It is given that and . […]

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# Geometry

## Proof that There Are Only Three Regular Tessellations

Tessellation is the process of covering the plane with shapes without gaps and overlaps. Tiles on walls and floors are the most common tessellations. In this post, we are going to prove that the there are only three regular polygons that can tile the plane. Tiling the plane with regular polygons is called regular tessellation. These are […]

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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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