Question

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed: (20 pts)
Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B.
Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X.
Step 3:
Step 4: Join points N and Y using a straightedge.

Which statement describes step 3 correctly?

A: Maintaining the same width of the compass as BQ, draw an arc from point X such that it intersects the arc drawn from N in a point Y.

B: Use the same width of the compass as the width of NX, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

C: Use the same width of the compass as AQ, and draw an arc from point X which intersects the arc drawn from N in a point Y.

D: Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Answer 1

Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

Step-by-step explanation:

The correct statement is,

use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

Because we want to have equal angles, therefore we select an arc equal in length to arc AB which intersects NT at point X.

Please refer the below image to understand more.

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