Constructing Angle Bisectors

The video tutorial explains how to construct an angle bisector, which divides an angle into two equal parts. It begins with constructing an acute angle and using a compass to create intersections on the angle's sides. By drawing arcs from these intersections, a new point is found that is equidistant from both sides of the angle. Finally, a straight edge is used to connect the vertex and this new point, completing the angle bisector construction.

What is the primary purpose of constructing an angle bisector?

• To divide an angle into two equal parts

• To measure the length of an angle

• To create a right angle

• To find the midpoint of a line

Which property is true for all points on an angle bisector?

• They are equidistant from each side of the angle

• They are closer to one side of the angle

• They form a right angle with the sides

• They are located outside the angle

What tool is used to create intersections on the sides of the angle?

• Protractor

• Compass

• Set square

• Ruler

What is the significance of the new point created by intersecting arcs?

• It is the vertex of the angle

• It marks the end of the angle bisector

• It is equidistant from both sides of the angle

• It is the midpoint of the angle

What is the final step in constructing an angle bisector?

• Connecting the vertex to the new point

• Erasing the initial angle

• Drawing a circle around the angle

• Measuring the angle with a protractor

What results from connecting the vertex to the new point?

• A single angle

• Two congruent angles

• An obtuse angle

• A right angle

Which of the following is NOT a step in constructing an angle bisector?

• Connecting the vertex to the new point

• Drawing arcs from the intersections

• Using a protractor to measure the angle

• Setting the compass to intersect both sides of the angle