Triangle Congruence Worksheet #2

Using the figure above and the given information, prove the following.

1. Given: Segment BC @ Segment FA, Angle FAC @ Angle BCA

Prove: Triangle FAC @ Triangle BCA

Using the figure above and the given information, prove the following.

2. Given: Segment AB @ Segment CD, Angle BAE @ Angle CDE, E is the midpoint of Segment AD

Prove: Segment BE @ Segment CE

Using the figure above and the given information, prove the following.

3. Given: Segment DG @ Segment EF, Angle DGH @ Angle EFH

Prove: Segment HG @ Segment HF

Based on the figure above and the given information, determine if you have enough information to confirm that the triangles are congruent. If you do, write a triangle congruence statement and identify which reason – CPCTC, SSS, SAS, ASA, or AAS - justifies the congruence. If you do not have enough information to match one of the reasons listed above, write “not enough information” and explain why not

4. Segment DH @ Segment EH, Segment GH @ Segment FH

5. Segment DH @ Segment EH, Segment GH @ Segment FH, Angle DFG @ Angle EGF

6. Angle DFG @ Angle EGF, Angle D @ Angle E

7. Segment DF @ Segment GE, Segment DG @ Segment EF

Using the figure above and the given information, prove the following.

8. Given: Segment BD bisects Angle ABC, Segment BD is perpendicular to Segment AC

Prove: Segment AB @ Segment CB

9. Angle BAD @ Angle BCD, Segment BD is perpendicular to Segment AC

10. Segment AB @ Segment CB, D is the midpoint of Segment AC

11. Segment AD @ Segment CD, Segment BD bisects Angle ABC