Isosceles Triangle Worksheet Given: D E

1. Given: D E A is the midpoint of DB B is the midpoint of AE

Prove: CDA CEB

Triangle Congruence Isosceles Triangle Worksheet

C

D

A

B

E

2. Given: ABC , CA CB , AR BS

C

DR AC , DS BC

Prove: DR DS

R

S

3. Given: BCF DCE

C is the midpoint of BD

CE CF

Prove: ABD is isosceles

A

D

A

E

B

C

L

4. Given: LM OP , NLO NOL

ML LO , PO OL

Prove: MN NP

B

F D O

M

N

P

C

5. (H) Given: ADEB , AE DB

CDE CED

Prove: ACB is isosceles

A

D

E

B

6. (H) Given: ABC with CA CB ,

D and F are the midpoints of CA and CB DE bisects AG FG bisects EB Prove: DE FG

C

D

F

A

E

G

B

Geometry

Triangle Congruence

7. (H) Given: ARB TSC

RT bisects BRS M is the midpoint of RT Prove: SM bisects RST

A CS

R

B

M

T

8. Given: ABC has vertices A (7 , -1) , B (2, - 2) and C (3, 3) Prove: ABC is an isosceles triangle

5 4 3 2 1

-2 -1 -1 -2 -3

-4

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Geometry

Triangle Congruence

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