Question

isha constructed ∠xyz and needs to double the angle by constructing a copy of the angle using ray yx as one of the sides of the new angle. he has constructed an arc, as appears in the image. what next step must he take to construct a copy of the angle using ray yx? (1 point) he must measure the distance between point x and point z using a compass he must measure the distance between point y and the arc using a compass he must measure the distance between point y and point z using a compass he must draw an arc that intersects the larger arc by placing the pointed end on point x

Explanation:

Step1: Recall angle - construction steps

To construct a copy of an angle, after drawing an arc from the vertex of the original angle, to transfer the angle measure, we measure the distance between the two intersection points of the arc with the sides of the original angle using a compass. In \(\angle XYZ\), the intersection points of the arc with the sides are \(X\) and \(Z\).

Step2: Determine the correct action

We need to measure the distance between point \(X\) and point \(Z\) using a compass to transfer the angle - measure for constructing a copy of the angle with \(YX\) as one of the sides.

Answer:

He must measure the distance between point X and Point Z using a compass