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ABC DEF? Is Do Now: When two triangles are congruent:
Introduce car part story When two triangles are congruent:
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Name the 6 pairs of corresponding parts:
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GOOD NEWS!! To prove triangles are we only need to show 3 pairs of corresponding parts of the triangles are
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Not-so-Good News!! Proofs are TRICKY about WHICH 3 sets of corresponding parts are congruent.
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How do we prove triangles are congruent?
AIM: How do we prove triangles are congruent?
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3 sides of one 3 sides of another
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2 sides and the included angle of one are
to the corresponding parts of another
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2 angles and the included side of one are
to the corresponding parts of another
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2 angles and the non-included side of one are
to the corresponding parts of another 22º 22º
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NOT ASS
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Ex 1 Which of the following cannot be used to prove triangles are congruent? a. SSS SSS b. AAA AAA c. SAS SAS d. AAS AAS
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Identify congruent triangles. Why are they congruent?
Ex 2 Identify congruent triangles. Why are they congruent? B D 70 3cm 110 5 cm E C A F 2cm G L H 70 110 5 cm 3 cm I 2 cm J K
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Ex 3 By what rule are the following triangles congruent? 90 30 90 30
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Ex 4 A B C E D By what rule is
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is the perpendicular bisector of
Ex 5 is the perpendicular bisector of By what rule are the triangles congruent? A C B M
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Ex 6 bisects R T S U By what rule are the triangles congruent?
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find the measure of angle C
B C A’ B’ C’ Ex 7 3 .Triangle ABC is congruent to triangle A’B’C’. If angle C is represented by 2x -10 and angle C’ is represented by 3x – 40, find the measure of angle C
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