Geometry- Mrs. Tilus Name: ___________________________________Unit 5- Worksheet #3: Use Angle Bisectors

1. Given: Point C is in the interior of ∠ ABD.

If ∠ ABC≅∠DBC , then B⃗C is the _________________________________ of ∠ ABD.

2. How are perpendicular bisectors and angle bisectors of a triangle different?

Use the information in the diagram to find the measure.

3. Find m∠ ABD 4. Find PS 5. m∠YXW =60 °. Find WZ

Is DB=DC? Justify your answer.

6. 7. 8.

Can you conclude that E⃗H bisects ∠FEG? Justify your answer.

9. 10. 11.

Find the value of x.

12. 13. 14.

Describe the error in reasoning. The state a correct conclusion about distances that can be deduced from the diagram.

15. 16.

XD , YD and ZD are angle bisectors of △ XYZ .

17. Point D is called the ___________________.

18. Find AD.

19. In the diagram, N is the incenter of △GHJ . Which statement cannot be deduced from the given information?

In each figure below, tell what point of concurrency is illustrated and identify the line segments that forms that point.

20. 21.

23. 24.