A student is given a segment and asked to construct a congru...

Question

A student is given a segment and asked to construct a congruent segment . The student follows these steps:

1. Places the compass at point X and adjusts it to reach point Y.

2. Moves the compass to point R and draws an arc.

3. Draws a segment from R to the point where the arc intersects a given line.

Which of the following conditions must be satisfied for ?

A

R and S must be collinear with X and Y.

B

The arc drawn must be centered at R.

C

The segment

must be drawn perpendicular to

.

D

The arc must intersect the given line at exactly one point.