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 draw an arc that intersects the larger arc by placing the pointed end on point x. he must measure the distance between point y and point z using a compass. 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.

Explanation:

Step1: Recall angle - construction steps

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

Step2: Identify the correct action

The next step is to measure the distance between point \(X\) and point \(Z\) using a compass to replicate the angle - measure for the new construction.

Answer:

He must measure the distance between point \(X\) and point \(Z\) using a compass.