Given a segment with endpoints A and B, what figure can you construct using the steps below?

Step 1: Draw a ray with endpoint C.

Step 2. Open the compass to the length of AB

Step 3: With the same compass setting, put the compass point on point C. Draw and arc that intersects the ray. Label the point of intersection D.

AA perpendicular Bisector
BA congruent segment
Can angle bisector
Da congruent angle

Verified Answer :

These steps can be used to construct:
B ) a congruent segment ( AB = CD ).

The correct answer is:


B) A congruent segment.


Explanation:


Placing the compass at point C and drawing an arc to intersect the ray gives us another point on the ray. This also creates a line segment on the ray. Since the compass is the width of segment AB when we draw the arc, this means the new segment on ray C will also be the width of segment AB. This means we have effectively copied the line segment.