Geometry: Division of Segments and Angles (Level 6 of 8)

The video tutorial covers examples of adjacent angles, angle bisectors, and angle trisectors. It begins with identifying angles adjacent to a given angle, followed by calculating angles using bisector properties. The tutorial also includes examples of identifying congruent angles and angle bisectors in diagrams. The video concludes with a final example and a brief overview of the concepts discussed.

Which of the following is true about adjacent angles?

• They are always right angles.

• They form a straight line.

• They are always equal in measurement.

• They share a common vertex and a common side.

If ray KO bisects angle JKM, and angle JKM measures 41 degrees, 37 minutes, what is the measure of angle OKM?

• 21 degrees, 48 minutes, 30 seconds

• 20 degrees, 37 minutes, 30 seconds

• 20 degrees, 48 minutes, 30 seconds

• 21 degrees, 37 minutes, 30 seconds

What is the result of trisecting an angle?

• The angle is divided into five equal parts.

• The angle is divided into four equal parts.

• The angle is divided into two equal parts.

• The angle is divided into three equal parts.

Which angles are congruent if ray RO bisects angle NRP?

• Angle NRO and angle PRO

• Angle NRP and angle PRO

• Angle NRO and angle NRP

• Angle PRO and angle NRP

What is the role of ray JG in the diagram where angle FJG and angle HJG are congruent?

• Ray JG is the median.

• Ray JG is the perpendicular bisector.

• Ray JG is the angle trisector.

• Ray JG is the angle bisector.

If angle POK is equal to angle MOK, which ray bisects these angles?

• Ray OK

• Ray OM

• Ray OP

• Ray KM

Given that ray TZ bisects angle XTY, and angle XTY is 60 degrees, what is the measure of angle XTZ?

• 30 degrees

• 60 degrees

• 45 degrees

• 15 degrees