12/5 Homework 6.1 Bisectors and Perpendicular Bisectors

What is a bisector?

Find the measure of ∠ABD when BD bisects ∠ABC. If ∠ABC = 54°, what is ∠ABD?

If BD bisects ∠ABC and ∠ABC = 72°, what is the measure of ∠ABD?

Find x if AD = 4 and x + 3 = 7.

Write an equation of the perpendicular bisector of the segment with endpoints M(1, 5) and N(7, -1).

If ZW + YW = 54 and ZW = 46, what is YW?

What is the definition of a perpendicular bisector?

If the measure of ∠ABC is 90° and BD bisects ∠ABC, what is the measure of ∠ABD?

Find the measure of ∠XYZ if XY bisects ∠XZW and ∠XZW = 80°.

If the coordinates of points A(2, 3) and B(4, 7) are given, find the midpoint M of segment AB.