How Right Triangles Demonstrate Similarity
AA (Angle-Angle) Criterion: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Since right triangles formed by an altitude share a common angle and both have a \(90^\circ\) angle, they’re similar by the AA criterion. The altitude is geometrically the mean between the two segments […]
HL Congruence: The Special Case of Right Triangles
Ensure that both triangles in question are right triangles. Identify and compare the lengths of the hypotenuses and one of the legs of both triangles. If both the hypotenuse and one leg are of equal length in the two triangles, then they are congruent by the HL theorem. Examples Practice Questions: Are right triangles with […]