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

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Proving Triangles Congruent
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Presentation transcript:

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

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

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

Corresponding Parts of Congruent Triangles are Congruent

Complete each congruence statement. If  ABC   DEF, then BC  ___ EF

Complete each congruence statement. If  ABC   DEF, then  A  ___ DD

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

Fill in the blanks  BAT   MON  T  ___ _____   ONM _____  MO NM  ____ NN  ATB BA TB

Fill in the blanks  BCA   ____  ____   GFE EGF CAB

Complete the congruence statement.  _____   JKN MKL

Complete the congruence statement.  _____   CBD ABD

There are 5 ways to prove triangles congruent.

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

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

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

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

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

Your Only Ways To Prove Triangles Are Congruent NO BAD WORDS

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

Overlapping sides are congruent in each triangle by the REFLEXIVE property Vertical Angles are congruent Alt Int Angles are congruent given parallel lines