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 draw an arc that intersects the larger arc by placing the pointed end on point 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 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 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.
1 answer
To double the angle ∠XYZ, Isha needs to ensure that he creates an identical angle with ray YX as one of its sides. The appropriate next step in the construction after drawing the initial arc is:
He must draw an arc that intersects the larger arc by placing the pointed end on point X.
This step allows him to find the appropriate location for the second ray in the doubled angle based on the intersection of the arcs, essentially aiding in the construction of the angle.
