How Right Triangles Demonstrate Similarity
Two right triangles are similar when they share an acute angle, because the right angles already match and the third angle then follows. That single shared angle is why the altitude to the hypotenuse creates three similar triangles. AA (Angle-Angle) Criterion: If two angles of one triangle are congruent to two angles of another triangle, […]
HL Congruence: The Special Case of Right Triangles
HL congruence applies only to right triangles: if the hypotenuse and one leg match, the triangles are congruent. It is the one case where two sides and a non-included angle are enough, because the right angle removes the ambiguity. Ensure that both triangles in question are right triangles. Identify and compare the lengths of the […]