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40 42 Warm up Solve for the variable. 1. 2. 4x – 20 x 2y + 28
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Quiz Review
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Congruent Triangles
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Congruent triangles have 3 congruent sides and 3 congruent angles.
Informal Geometry 6/18/2018 Congruent Triangles 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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ORDER MATTERS!!!! In a congruence statement Everything matches up.
Informal Geometry 6/18/2018 Congruence Statement In a congruence statement ORDER MATTERS!!!! Everything matches up.
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Corresponding Parts of Congruent Triangles are Congruent
CPCTC Corresponding Parts of Congruent Triangles are Congruent
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Complete each congruence statement.
B If ABC DEF, then BC ___ EF A C D F E
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Complete each congruence statement.
B If ABC DEF, then A ___ D A C D F E
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Complete each congruence statement.
B If ABC DEF, then C ___ F A C D F E
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Fill in the blanks If CAT DOG, then AC ___ OD
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BAT MON N T ___ _____ ONM _____ MO ATB NM ____ BA TB
Fill in the blanks BAT MON N T ___ _____ ONM _____ MO NM ____ ATB BA TB
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Fill in the blanks BCA ____ ____ GFE EGF CAB
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Complete the congruence statement.
MKL _____ JKN
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Complete the congruence statement.
ABD _____ CBD
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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-Side-Angle (ASA) Congruence Postulate
Two angles and the INCLUDED side (the side is in between the 2 marked angles)
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Two Angles and One Side that is NOT included
Angle-Angle-Side (AAS) Congruence Postulate A S A S Two Angles and One Side that is NOT included
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There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg
HL
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Your Only Ways To Prove Triangles Are Congruent
SSS SAS ASA AAS HL NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent
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4 markings YOU can add if they aren’t marked already
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Share a side Vertical Angles Reason: Reflexive Property
Reason: Vertical Angles are congruent
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Alternate Interior Angles
Reason: Alt. Int angles are congruent
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Opposite congruent sides are congruent angles.
Isosceles Triangle Opposite congruent sides are congruent angles.
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CW: Practice Worksheet #1 – 9
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Homework WS #1 – 12
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