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Published byWilliam Marsh Modified over 8 years ago
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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 (4.1 – 4.8).
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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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Homework WS #1 – 12
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