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Proving Triangles Congruent

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Presentation transcript:

DO NOW!!! Solve for “x”.

Triangle Congruence

SSS: Side Side Side If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent.

SAS: Side Angle Side If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent.

ASA: Angle Side Angle If 2 angles and the included side of one triangle are congruent to the 2 angles and the included side of another triangle, then the triangles are congruent.

AAS: Angle Angle Side If 2 angles and a non-included side of one triangle are congruent to the corresponding 2 angles and side of another triangle, then the two triangles are congruent.

HL: Hypotenuse Leg If the hypotenuse and leg of one right triangle are congruent to hypotenuse and leg of another right triangle, they are congruent.

IMPORTANT!!! If the congruence theorem spells a bad word, the triangles are not congruent.

Guided Practice (CFU) For each pair of triangles below: Are the triangles congruent? If so, by what theorem? If so, write a congruence statement.