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 ?

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 ?

Options

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

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

Answer 1

The correct option would be:

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

Answer 2

The next step Isha must take to construct a copy of the angle using ray YX is to draw an arc that intersects the larger arc by placing the pointed end on point X.

Answer 3

To construct a copy of the angle using ray YX, Isha must draw an arc that intersects the larger arc by placing the pointed end on point X. This is because constructing a copy of an angle involves creating an arc with the original vertex as the center and a radius that intersects both sides of the original angle. By placing the pointed end on point X, Isha ensures that the arc intersects both sides of angle XYZ, allowing for the construction of a copy of the angle.