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Ensure you know the lengths of all three sides of both triangles. Compare each corresponding side. If all three sides in one triangle are equal in length to the three sides of the other triangle, the two triangles are congruent. Ensure you know the lengths of two sides and the magnitude of the included angle […]
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 […]
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