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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.
AUG DAY
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Corresponding Parts of Congruent Triangles are Congruent
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Complete each congruence statement.
CA
E
D
B
F
If ABC DEF,
then BC ___EF
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Complete each congruence statement.
CA
E
D
B
F
If ABC DEF,
then A ___D
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Complete each congruence statement.
CA
E
D
B
F
If ABC DEF,
then C ___F
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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_____ MONM ____
NATBBA
TB
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Fill in the blanks
BCA ________ GFE
EGF
CAB
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Complete the congruence statement.
_____ JKNMKL
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Complete the congruence statement.
_____ CBDABD
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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