Exploring Angle Bisectors in Geometry

What is the common point called where two rays meet to form an angle?

• Side

• Vertex

• Line

• Edge

If an angle measures 45 degrees, what is the total degree measure around a circle?

• 90 degrees

• 180 degrees

• 360 degrees

• 720 degrees

What does an angle bisector do to an angle?

• Extends the angle

• Divides it into two unequal parts

• Cuts it into two congruent angles

• Changes the angle's measure

In the example, what is the name of the ray that bisects the angle UVW?

• Ray XW

• Ray UV

• Ray VX

• Ray VW

How can we denote that two angles are congruent?

• Using a division sign

• Using a multiplication sign

• Using a plus sign

• Using a congruence symbol

If angle UVX measures 2x + 3 and angle XVW measures 3x, what is the value of x?

• 1

• 4

• 3

• 2

What must be true for the ray VX to be an angle bisector of UVW?

• UVX and XVW must be equal

• UVX must be greater than XVW

• UVX must be less than XVW

• UVX and XVW must be perpendicular

What is the measure of angle UVW if VX is an angle bisector and UVX is 2x + 3?

• 5x + 3

• 4x + 6

• 3x

• 2x + 3

If angle UVX is 10 degrees and angle XVW is 13 degrees, is VX an angle bisector?

• No

• Only if UVW is 23 degrees

• Yes

• Only if UVW is 45 degrees

What is an angle bisector?

• A line that divides an angle into two unequal parts

• A line that extends an angle

• A line that changes the angle's measure

• A line that cuts an angle into two congruent parts