Question

open the compass to length cd
with the compass point on c, draw an arc that intersects the construction in the previous step. label the intersection q
what is the third step of the construction?
with the same compass setting, put the compass point on d. draw an arc and label its point of intersection with the construction in the first step as r
open the compass to length ab and put the compass point on d. draw an arc and label its point of intersection with the construction in the first step as r
with the same compass setting, put the compass point on c. draw an arc and label its point of intersection with the construction in the first step as r
open the compass to length ab and put the compass point on c. draw an arc and label its point of intersection with the construction in the first step as r
what is the fourth step of the construction?
a. open the compass to length ab. put the compass point on r and draw another arc that intersects the arc constructed in the previous step. label the intersection t
b. open the compass to length ab. put the compass point on a and draw another arc that intersects the arc constructed in the previous step. label the intersection t
c. with the same compass setting as the previous step, put the compass point on r and draw another arc that intersects the arc constructed in the previous step. label the intersection t
d. with the same compass setting as the previous step, put the compass point on a and draw another arc that intersects the arc constructed in the previous step. label the intersection t

Explanation:

Step1: Analyze construction steps logic

In geometric construction, after setting the compass to a certain length and making an arc from one - point, the next logical step with the same compass setting is often to make an arc from another relevant point.

Step2: Evaluate third - step options

For the third step, since the compass is set to length CD in the first step and an arc is drawn from C in the second step, with the same compass setting, putting the compass point on D and drawing an arc and labeling the intersection with the first - step construction as R is the correct continuation.

Step3: Evaluate fourth - step options

For the fourth step, after the previous step of making an arc from D, with the same compass setting as the previous step, putting the compass point on R and drawing another arc that intersects the previously constructed arc and labeling the intersection T is the correct next step in the construction process.

Answer:

What is the third step of the construction? A. With the same compass setting, put the compass point on D. Draw an arc and label its point of intersection with the construction in the first step as R
What is the fourth step of the construction? C. With the same compass setting as the previous step, put the compass point on R and draw another arc that intersects the arc constructed in the previous step. Label the intersection T