Question

question 1 / 3 jack wanted to construct an angle that is congruent to ∠mno. after using a straight edge to draw a line segment that will form part of the angle, he struck arc mo with a center point of n. he then kept the compass settings the same and struck an arc with a center point of q. what should the radius of the compass be in order to complete the next step of this construction?

Explanation:

Step1: Recall angle - congruence construction

To construct an angle congruent to ∠MNO, after drawing an initial arc from the vertex of the new angle (Q) with the same compass - setting as the arc drawn from N in ∠MNO, the next step is to measure the distance between the intersection points of the arc and the two rays of ∠MNO.

Step2: Determine compass radius

The radius of the compass for the next step should be the distance between the two intersection points of arc MO and the rays of ∠MNO. This ensures that the new angle will have the same measure as ∠MNO.

Answer:

The distance between the two intersection points of arc MO and the rays of ∠MNO.