Question

problem 4 constructing the angle bisector. 12. obtuse ∠xyz is drawn. then construct its bisector (overrightarrow{yp}). got it? draw obtuse ∠xyz. the flowchart and do each step of the construction. step 1 put the compass point on vertex y. draw an arc that intersects the sides of ∠xyz. label the points of intersection a and b. step 2 put the compass point on point a and draw an arc. with the same / a different compass setting, draw an arc using point b. be sure the arcs intersect. label the point where the two arcs intersect p. step 3 draw (overrightarrow{yp}).

Explanation:

Step1: Place compass on vertex

Put the compass point on vertex $Y$. Draw an arc that intersects the sides of $\angle XYZ$. Label the points of intersection $A$ and $B$.

Step2: Draw arcs from intersection points

Put the compass point on point $A$ and draw an arc. With the same compass - setting, draw an arc using point $B$. Be sure the arcs intersect. Label the point where the two arcs intersect $P$.

Step3: Draw the angle - bisector

Draw $\overrightarrow{YP}$. $\overrightarrow{YP}$ is the bisector of $\angle XYZ$.

Answer:

The steps to construct the bisector of obtuse $\angle XYZ$ are as described above.