Question

problem 4 constructing the angle bisector
got it? draw obtuse ∠xyz. then construct its bisector yp.

1. obtuse ∠xyz is drawn in the box at the right. complete 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 p. 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
lesson check • do you understand?
vocabulary what two tools do you use to make constructions?
draw a line from each task in column a to the tool used in column b.
column a

1. measure lines
2. measure angles
3. construct arcs
4. construct lines

column b
compass
protractor
ruler
straightedge

Explanation:

Step1: Identify tools for geometric tasks

For measuring lines, a ruler is used as it has markings to determine length.

Step2: Identify tool for angle - measurement

A protractor is used to measure angles as it has degree markings for this purpose.

Step3: Identify tool for arc - construction

A compass is used to construct arcs as it can create curves with a fixed radius.

Step4: Identify tool for line - construction

A straightedge (or a ruler which can also be used to draw straight lines) is used to construct lines.

Answer:

1. ruler
2. protractor
3. compass
4. straightedge