Use the image to answer the question.

Question

An illustration shows angle X Y Z. Ray Y X and ray Y Z extend from vertex Y indefinitely. Both points X and Z are intersected by a single arc.

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)
Responses

He must measure the distance between point Y
and point Z
using a compass.
He must measure the distance between point upper Y and point upper 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 upper X and point upper 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 upper Y and the arc using a compass.

He must draw an arc that intersects the larger arc by placing the pointed end on point X
.

Answer 1

To construct a copy of angle ∠XYZ using ray YX as one of the sides of the new angle, Isha should:

He must measure the distance between point Y and point Z using a compass.

This will allow Isha to create an arc with the same radius, ensuring that the angle is accurately duplicated. After measuring that distance, he can then use the compass to replicate that distance from point Y to construct the new angle.