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
∠
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
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 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 X
and point Z
using a compass.
He must measure the distance between point upper X and point upper Z using a compass.
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3 answers
To construct a copy of angle ∠XYZ using ray YX as one of the sides of the new angle, Isha needs to take the following step:
He must measure the distance between point Y and point Z using a compass.
This will allow him to accurately replicate the length of ray YZ in the construction of the double angle.
I apologize for any confusion. Let's clarify the step required to construct a double of angle ∠XYZ using ray YX.
After constructing the arc that intersects both rays YX and YZ, the next step Isha should take is:
He must measure the distance between point Y and point Z using a compass.
This distance will help him place the new ray corresponding to point Z in the doubled angle.
If there is anything further you'd like to know or clarify about the construction process, feel free to ask!
