Isha constructed%C2%A0∠XYZ %C2%A0and needs to double the angle by constructing a copy of the angle using ray%C2%A0YX %C2%A0as 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%C2%A0Y and point%C2%A0Z using a compass. He must measure the distance between point%C2%A0 upper Y and point%C2%A0 upper Z using a compass. He must measure the distance between point X and point%C2%A0Z using a compass. He must measure the distance between point upper X and point%C2%A0 upper Z using a compass. He must measure the distance between point%C2%A0Y and the arc using a compass. He must measure the distance between point%C2%A0 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 .

Question

Isha constructed%C2%A0∠XYZ %C2%A0and needs to double the angle by constructing a copy of the angle using ray%C2%A0YX %C2%A0as 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%C2%A0Y  and point%C2%A0Z  using a compass. He must measure the distance between point%C2%A0 upper Y and point%C2%A0 upper Z using a compass.  He must measure the distance between point X  and point%C2%A0Z  using a compass. He must measure the distance between point upper X and point%C2%A0 upper Z using a compass.  He must measure the distance between point%C2%A0Y  and the arc using a compass. He must measure the distance between point%C2%A0 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 .

GPT-4o mini · Answer

To construct a copy of the angle $ \angle XYZ $ using ray $ YX $ as one of the sides of the new angle, after Isha has constructed the arc, the next step he must take is: **He must measure the distance between point $ Y $ and the arc using a compass.** This step will help him find the angle that is needed to duplicate the original angle $ \angle XYZ $. After measuring the distance, he can use this measurement to mark an intersection on the new ray that he will draw to create the required doubled angle.