Use the image to answer the question.

Isha constructed ∠XYZ
∠
𝑋
𝑌
𝑍
and needs to double the angle by constructing a copy of the angle using ray YX
𝑌
𝑋
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
𝑌
𝑋
?

(1 point)
Responses

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

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

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

1 answer

To construct a copy of the angle ∠XYZ and double it using ray YX as one side of the new angle, after Isha has already drawn an arc that intersects the sides of the angle, the correct next step would be:

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

This step will help determine where the new angle will be formed in relation to ray YX, effectively doubling the original angle ∠XYZ.