If an angle can be divided in half by constructing a bisector, then what method doubles an angle?(1 point)

Question

Responses
which is the correct response solve it and tell me why

bisecting the angle twice
bisecting the angle twice

constructing two of the bisected angles
constructing two of the bisected angles

constructing a copy attached to the original angle
constructing a copy attached to the original angle

constructing a copy of the bisected angle attached to the original angle
constructing a copy of the bisected angle attached to the original angle

Answer 1

To double an angle, you need to construct a copy of the angle and attach it to the original angle. Therefore, the correct response is:

constructing a copy attached to the original angle.

Explanation:

• Bisecting the angle twice: This would divide the angle into quarters, not double it.
• Constructing two of the bisected angles: This would result in four angles, one-quarter each of the original, thus not doubling it either.
• Constructing a copy attached to the original angle: By duplicating the angle and placing the new angle adjacent to the original angle, the two will sum together, effectively creating a new angle that is double the original.
• Constructing a copy of the bisected angle attached to the original angle: This would certainly not double the angle but instead would create an angle that is a combination of the original angle and half of it.

Hence, attaching a copy of the original angle (not the bisected one) to itself is the correct method to double the angle.