Question

rearrange the following sentences below to create the bisector of ∠a. answer ∠cad≅∠bad. label the point of intersection of the two arcs d. use a straightedge to draw $overrightarrow{ad}$. place the compass point at b. draw an arc in the interior of angle a. with the same setting, place the compass point at c and draw an arc intersecting the arc drawn from b. place the compass point at a. draw an arc intersecting both rays of ∠a. label the points of intersection b and c.

Explanation:

Step1: Start with the first - step of angle - bisecting

Place the compass point at A. Draw an arc intersecting both rays of $\angle A$. Label the points of intersection B and C.

Step2: Create intersecting arcs

Place the compass point at B. Draw an arc in the interior of angle A. With the same setting, place the compass point at C and draw an arc intersecting the arc drawn from B.

Step3: Identify the intersection and draw the bisector

Label the point of intersection of the two arcs D. Use a straightedge to draw $\overrightarrow{AD}$.

Step4: State the property of the angle - bisector

$\angle CAD\cong\angle BAD$

Answer:

1. Place the compass point at A. Draw an arc intersecting both rays of $\angle A$. Label the points of intersection B and C.
2. Place the compass point at B. Draw an arc in the interior of angle A. With the same setting, place the compass point at C and draw an arc intersecting the arc drawn from B.
3. Label the point of intersection of the two arcs D. Use a straightedge to draw $\overrightarrow{AD}$.
4. $\angle CAD\cong\angle BAD$