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) Responses 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 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 point Z using a compass. He must measure the distance between point upper Y 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 .

Answer 1

To construct a copy of the angle ∠XYZ and double it using ray YX, Isha should first measure the distance between point Y and the arc using a compass. This will allow her to replicate the arc so that the new angle can have the same structure.

After measuring the distance between point Y and the arc, the next step would typically involve using that measurement to create an intersection for the new arc representing the doubled angle.

So, the correct response is: He must measure the distance between point Y and the arc using a compass.