Transcript Proving Triangles congruent sss sas asa aas hl

Warm up
Solve.
1.
x
4x – 20
40
2.
2y + 28
3y – 14°
42
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Did you have hw?
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.
AUG  DAY
Corresponding Parts of
Congruent Triangles are
Congruent
Complete each congruence statement.
If ABC  DEF,
B
then BC  EF
___
A
D
C
F
E
Complete each congruence statement.
If ABC  DEF,
B
then A D
___
A
D
C
F
E
Complete each congruence statement.
If ABC  DEF,
B
then C F
___
A
D
C
F
E
Fill in the blanks
If CAT  DOG,
OD
then AC  ___
Fill in the blanks
BAT  MON
T  N
___
ATB
_____  ONM
BA  MO
_____
NM  TB
____
Fill in the blanks
EGF
BCA   ____
CAB   GFE
____
Complete the congruence statement.
MKL   JKN
_____
Complete the congruence statement.
ABD   CBD
_____
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
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NO BAD
WORDS
Your Only Ways
To Prove
Triangles Are
Congruent
2 markings you can
add if they aren’t
marked already
Share a side
Reason: reflexive
property
Vertical Angles
Reason: Vertical Angles are congruent
Homework WS
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