12/5 Homework 6.1 Bisectors and Perpendicular Bisectors

Front

What is a bisector?

Back

A line, ray, or segment that divides an angle or segment into two equal parts.

Front

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

Back

∠ABD = 27°

Front

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

Back

∠ABD = 36°

Front

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

Back

x = 4

Front

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

Back

y = x - 2

Front

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

Back

YW = 8

Front

What is the definition of a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

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

Back

∠ABD = 45°

Front

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

Back

∠XYZ = 40°

Front

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

Back

M = (3, 5)