Question

freo is trying to complete a construction of an angle bisector as shown below:
each step is labeled with a letter
r: draw two arcs such that it intersects rays ba and bc at points m and q, respectively
s: without changing the distance between the legs of the compass, draw two arcs starting at m and q, such that these two arcs intersect at a point named t.
t: span any width of radius in a compass with b as the center.
u: join the ray bt.
what is the correct order of steps in order to complete the construction?
a. r,s,t,u
b. t,s,u,r
c. t,r,s,u
d. r,t,s,u

Explanation:

Step1: Start with center - point

First, we need to set the compass with B as the center and span any width of radius. This is step T.

Step2: Intersect rays

Then, draw two arcs such that it intersects rays BA and BC at points M and Q respectively. This is step R.

Step3: Create intersection point

Next, without changing the distance between the legs of the compass, draw two arcs starting at M and Q, such that these two arcs intersect at a point named T. This is step S.

Step4: Draw angle - bisector ray

Finally, join the ray BT. This is step U.

Answer:

C. T, R, S, U