Name:____________________________________Date:__________Period:______
CONGRUENT TRIANGLE notes
• Congruent: same _________, same ________
**Symbol: ≅
• Congruent Triangles: __________ that have 3 pairs of
congruent corresponding ________ and 3 pairs of congruent
corresponding __________
*Reminder: Corresponding means _________ ______________
E
B
A
C
AB ≅
BC ≅
CA ≅
D
F
∠A ≅
∠B ≅
∠C ≅
Therefore, △ABC≅△
Examples:
1.
/ ≅ ______
JK
J
K
ON ≅ ______
M
∠O ≅ ______
∠K ≅ ______
O
Therefore…
MO ≅ ______
N
L
2. △QRS ≅ △XYZ
QR ≅ _____
RS ≅ _____
ZX ≅ _____
∠Q ≅ _____
∠Y ≅ _____
∠X𝑍𝑌 ≅ ______
∠M ≅ ______
© Lindsay Bowden, 2018
CONGRUENT TRIANGLE notes CONTINUED
•
•
You do NOT have to know all 6 pieces of each triangle (3
angles and 3 sides) to prove they are ____________
There are _____________ to prove triangles are
congruent!
SHORTCUT
PICTURE
HINTS
*only sides will be
marked
Side-Side-Side
(SSS)
*angle must be in between the
two sides
Side-Angle-Side
(SAS)
*side must be in between the
two angles
Angle-Side-Angle
(ASA)
*side must NOT be in
between the two angles
Angle-Angle-Side
(AAS)
Hypotenuse-Leg
(HL)
*Only for RIGHT
TRIANGLES!*
*The hypotenuse is the
longest side
*The legs are the other two
sides
These DON’T work:
Angle-Angle-Angle (AAA)
Angle-Side-Side ( J )
Side-Side-Angle (SSA)
*only proves that triangles are _________
*angle is NOT in _________ sides
© Lindsay Bowden, 2018
Name:____________________________________Date:__________Period:______
CONGRUENT TRIANGLE PRACTICE
Direction: State if the triangles are congruent by SSS, SAS, ASA, AAS, or HL. If the triangles are not
congruent, write “no”. For #10-12, finish the congruency statement.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10. △BCA≅ △
11. △LKJ≅ △
12. △PQR≅ △
B
A
F
T
L
P
J
K
R
C
E
S
N
M
D
O
Q
U
© Lindsay Bowden, 2018
CONGRUENT TRIANGLE PRACTICE 2
Direction: State if the triangles are congruent by SSS, SAS, ASA, AAS, or HL. If the triangles are not
congruent, write “no”. *Triangles may not be drawn to scale.* For #10-12, finish the congruency statement.
1.
2.
4.
5.
3.
6.
▶
=
▶
▶
▶
▶
▶
7.
8.
10. △BCA≅ △
A
E
9.
△JLK≅ △
11.
12.
Q
N
▶
▶
C
J
M
D
T
▶
▶
B
K
R
▶
▶
L
△QTR≅ △
S
© Lindsay Bowden, 2018