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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:a) Are the triangles congruent?b) If so, by what theorem?c) If so, write a congruence statement.