Constructing an Angle Bisector with Geometer's Sketchpad

This video tutorial demonstrates how to construct an angle bisector using Geometer's Sketchpad. It begins with constructing an angle using two rays, followed by creating a circle that intersects the angle's sides. The tutorial then explains how to find intersection points and construct congruent circles. Finally, it shows how to construct the angle bisector and verify its accuracy by measuring the angles. The tutorial concludes with a summary of the process.

What is the first step in constructing an angle using Geometer's Sketchpad?

• Select the ray tool

• Select the circle tool

• Select the line tool

• Select the point tool

How do you create a circle that intersects both sides of the angle in Geometer's Sketchpad?

• By drawing two lines

• By using the compass tool

• By using the circle tool centered at the vertex

• By using the polygon tool

What is the purpose of constructing two congruent circles at the intersection points?

• To create a new angle

• To find the midpoint of the angle

• To measure the angle

• To find the intersection for the angle bisector

How do you construct the angle bisector in Geometer's Sketchpad?

• By drawing a line through the vertex and the initial point

• By drawing a line through the vertex and the intersection of the congruent circles

• By drawing a line through the vertex and the midpoint of the angle

• By drawing a line through the vertex and the center of the circle

What is the final step to verify the angle bisector?

• Measure the length of the bisector

• Measure the two angles to ensure they are congruent

• Measure the distance between the intersection points

• Measure the radius of the circles