Unit 5 Triangle Congruence

1-10 Determine if the triangles are congruent.

Select the correct congruence theorem.

ASA

SSS
Not Congruent
SAS
SSS
ASA
Not Congruent

AAS

ASA
SSS
Not Congruent
SAS

SSS

 SAS

Not Congruent

ASA

Not Congruent

ASA

AAS

SSS

ASA

AAA

Not Congruent

AAS

SSS

SAS

SSA

AAS

ASA

SSS

SAS

Not Congruent

SSS

AAS

AAA

Not Enough Information

SAS

ASA

SSS

Not Congruent

11-19 Solve for the missing variable(s)
X=

35o

Xo

X=

25mm.

(6x+43)mm.
X=
(x-5)o
75o
60o
X=
5in.
(2x-6)in.
3in.
5in.
(5x-21)in.
3in.

X=

85o
25o
30o

Xo

X=

42o
(2x-20)o
X=
5in.
4in.
3in.
(2x-19)in.
4in.
3in.
X=
(3x+40)o
(7x-20)o
(2x-8y)cm.
X=
(3x-1)cm.

Y=

(4x)cm.
(2x+7)cm.
Given: AC ≅ BC, CD is angle bisector of   ACB
Prove: ΔACD ≅ ΔBCD
∆ACD≅ΔBCD
DC≅
ACD ≅

AC ≅ BC,

CD is an angle

bisector of  ACB

Statements
Def. of                bisector

Reflexsive

Reasons

A

D
B
C

AB≅DC

E is midpoint of AC&BD

∆ABE≅∆
Prove:   B≅   D

Given: AB≅DC,

           E midpoint of AC & BD

DE≅
Reasons
B≅   D
AE≅CE
Def. of
Def. of midpoint
SSS
Statements
A
D
E

B

C
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