Question

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed.

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.

Answer 1

Which statement describes step 3 correctly?

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

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.

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.

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 2

Here is one person's idea on copying an angle. Let's see if that person's third step matches what might be the third step in the posted problem.

Answer 3

I don't get what that person was trying to do...

Answer 4

Copying an angle and constructing an angle congruent to a given angle are the same thing.

Answer 5

So then my answer would be "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."

Answer 6

No.
You are copying angle PQR so you would want to get the width from A to B on the compass and mark it off on the arc of the angle you are constructing. So, which option is that?

Answer 7

What is your best guess?

Answer 8

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 9

That's what I got - that last option.

Answer 10

Thanks!

Answer 11

Glad to help.