Download Ex 7 SSS, SAS, ASA, AAS, HL, or not congruent.

Warm up
Solve.
1.
x
4x – 20
40
2.
2y + 28
3y – 14°
42
Questions over 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.
NOV  DAY
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-Side-Angle (ASA)
Congruence Postulate
Two angles and the INCLUDED side
(the side is in between the 2 marked angles)
Angle-Angle-Side (AAS)
Congruence Postulate
Two Angles and One Side
that is NOT included
There are four more ways to prove
triangles congruent, but they are
only for RIGHT
TRIANGLES…Hypotenuse Leg
only for RIGHT
TRIANGLES…Hypotenuse Angle
only for RIGHT TRIANGLES…Leg Leg
only for RIGHT TRIANGLES…Leg
Angle
}
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
White
Board
Practice
Ex 1
SSS, SAS, ASA, AAS, HL, or not congruent.
SSS
SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 2
I
AAS
Ex 3
SSS, SAS, ASA, AAS, HL, or not congruent.
Not congruent.
Ex 4
SSS, SAS, ASA, AAS, HL, or not congruent.
SAS
SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 5
ASA
Ex 6
SSS, SAS, ASA, AAS, HL, or not congruent.
SSS
SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 7
Not congruent
SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 8
SAS
Ex 9
SSS, SAS, ASA, AAS, HL, or not congruent.
AAS or SAS
Ex 10
SSS, SAS, ASA, AAS, HL, or not congruent.
HL