Question

Ricardo is copying angle BCD below.

Which is the next step in Ricardo's construction?
A. Draw an arc and label the intersection point V.
B. Place the point of the compass on point Y and
adjust the width to point X.
C. Draw TU and point R on TU
D. Draw VU and point R on VU

Answer 1

Answer: C) Draw segment TU and point R on segment TU.

The construction he set up so far is pretty much almost done. If he draws a ray through points T and U (with T as the endpoint), then ray TU combines with ray TS to get angle STU. This angle is congruent to angle BCD.

The point R is introduced so that we call this angle STR instead of angle STU, but it's the same basic idea. You could also replace "ray" with "line" or "line segment" to get the same basic construction of copying an angle.