Bisecting an Angle

Bisecting an Angle
Bisecting an Angle
Follow the steps below to bisect angle ABC:[br][br][br]1. Using B as center, use the circle tool to draw an arc of any radius.[br]2. Construct a point where that circle intersects ray BA and label the point as X. Construct another point where the circle intersects ray BC and label that point as Y.[br]3. Using X as center and a radius that is a little more than halfway from X to Y, draw a circle.[br]4. Use the segment tool to draw a radius of the circle you just constructed in Step 3.[br]5. Use the Compass tool and select the segment you just constructed in Step 4 and point Y to construct a circle centered at Y with the same radius as the circle you constructed in Step 4.[br]6.Construct point Z where the circles constructed in Steps 3 and 5 intersect.[br]7. Draw ray BZ.[br][br]Ray BZ bisects angle ABC.[br][br]When you finish answer the following questions in complete sentences. When you finish discuss you answers with your partner. [br][br]1. How do you think you'd create a ray that is 1/3 of the angle? If you finish early... try it! [br]2. Your friend claims it is possible for a straight angle to consist of two obtuse angles. Is your friend correct? Explain your reasoning.[br]3. Explain what a compass does? Why is it so important to use circles when constructing?

Information: Bisecting an Angle