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40 x 4x – 20 Solve. Warm up 1. 2y + 28 3y – 14° 2. 42

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Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.

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In a congruence statement ORDER MATTERS!!!! Everything matches up.

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Corresponding Parts of Congruent Triangles are Congruent

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Complete each congruence statement. C A E D B F If ABC DEF, then BC ___ EF

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Complete each congruence statement. C A E D B F If ABC DEF, then A ___ DD

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Complete each congruence statement. C A E D B F If ABC DEF, then C ___ FF

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Fill in the blanks If CAT DOG, then AC ___ OD

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Fill in the blanks BAT MON T ___ _____ ONM _____ MO NM ____ NN ATB BA TB

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Fill in the blanks BCA ____ ____ GFE EGF CAB

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Complete the congruence statement. _____ JKN MKL

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Complete the congruence statement. _____ CBD ABD

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There are 5 ways to prove triangles congruent.

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Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle

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Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides)

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Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

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Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side (the side is in between the 2 marked angles)

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There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg

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Your Only Ways To Prove Triangles Are Congruent NO BAD WORDS

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2 markings you can add if they aren’t marked already

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Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent

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Proving Triangles Congruent

Proving Triangles Congruent

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