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.
A. A perpendicular Bisector
B. A congruent segment
C. an angle bisector
D. a congruent angle
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.
