Math  /  Geometry

QuestionSome steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed:
Step 1: Draw a segment NT. Step 2: Use a compass to draw an arc from point QQ which intersects the side PQ of angle PQRP Q R at point AA and the side QRQ R at point BB. Step 3: Step 4: Adjust the width of the compass to ABA B and draw an arc from point XX such that it intersects the arc drawn from NN in a point YY. Step 5: Join points NN and YY using a straightedge. Which statement describes step 3 correctly? ( 5 points) 1) Without changing the compass width, draw an arc from point AA which intersects the segment NT at a point X . 2) Without changing the compass width, draw an arc from point NN which intersects the segment NT at a point X . 3) Without changing the compass width, draw an are from point BB which intersects the segment NT at a point X . 4) Without changing the compass width, draw an arc from point Twhich intersects the segment NT at a point X .

Studdy Solution
Determine which option correctly completes the construction process:
The correct option is: 2) Without changing the compass width, draw an arc from point N N which intersects the segment NT NT at a point X X .
This step ensures that the arc from N N is congruent to the arc from Q Q , maintaining the congruency of the angles.
The correct statement for step 3 is option 2:
Without changing the compass width, draw an arc from point N which intersects the segment NT at a point X. \boxed{\text{Without changing the compass width, draw an arc from point } N \text{ which intersects the segment } NT \text{ at a point } X.}

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