Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School 2015-2016.

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Presentation transcript:

Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

 Angle-Side-Angle (ASA) Congruence Theorem:  If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. ▲ABC ≅ ▲DEF ▲QPR ≅ ▲RSQ

 Angle-Angle-Side (AAS) Congruence Theorem:  If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non- included side of a second triangle, then the two triangles are congruent. ▲ABC ≅ ▲DEF ▲REN ≅ ▲RVN

 Because the angles are marked in a different order, the congruent side in ▲KLM does not correspond to the congruent side in ▲UTS. In other words, in the first triangle the marked side is across from the angle with two arcs, and in the second triangle the marked side is across from the angle with one mark. The two sides do NOT correspond! Look carefully!