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Proving Triangles Congruent
5 Methods
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Proving Triangles Congruent
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Proving Triangles Congruent
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Proving Triangles Congruent
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Proving Triangles Congruent
This one is a THEOREM!!
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Proving Triangles Congruent
_ H L This one is a THEOREM!!
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CAUTION!! BE CAREFUL!!! NOT ALL combinations S & A will give congruent triangles.
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AAA AAA is NOT a method to prove two triangles congruent. It will show two triangles that have the same SHAPE, but NOT necessarily the same SIZE!!
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SSA (OR ASS) This is humorously referred to as the Donkey Theorem. It is NOT a valid way to show two triangles are congruent!!
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1 LKN LMN by SAS Postulate
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2 Not Congruent
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3 FGH JKL by SAS Postulate
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4 Reflexive Prop= YZW WXY by SSS Postulate
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Vertical Angles Theorem
5 Vertical Angles Theorem Not Congruent But Wait…… OMN OPQ by AAS Theorem
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6 XYZ TVU by SSS Postulate
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7 I T R G E Vertical Angles Theorem Alternate Interior Angles Theorem
ERT IRG by ASA Postulate
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