Question

put the steps in order to draw a segment congruent to existing segment ab. name the intersection of the line and the arc d. cd is the congruent segment. without changing the width, place the compass point on point c and draw an arc. open your compass to the width of ab. use a straightedge to draw a line between point c and the arc. draw a point separate from segment ab and name it c.

Explanation:

Step1: Draw a point separate from segment AB and name it C.

To start constructing the congruent segment, we first need a reference point.

Step2: Open your compass to the width of AB.

This sets the length measurement.

Step3: Without changing the width, place the compass point on point C and draw an arc.

This arc will help in getting the correct length.

Step4: Use a straightedge to draw a line between point C and the arc.

This line will be part of the congruent segment.

Step5: Name the intersection of the line and the arc D. CD is the congruent segment.

This finalizes the construction.

Answer:

5 (Draw a point separate from segment AB and name it C), 3 (Open your compass to the width of AB), 2 (Without changing the width, place the compass point on point C and draw an arc), 4 (Use a straightedge to draw a line between point C and the arc), 1 (Name the intersection of the line and the arc D. CD is the congruent segment)