Question
a Jade constructed ∠ B and then constructed a copy of ∠ B and labeled it as ∠ E What must be true about the two angles she constructed?
The copy of the angle was constructed using only a straightedge.
The angles have congruent measurements.
∠ fEd has twice the measure of ∠ aBc.
∠ fE d was made by drawing two rays from point E the same length as overline aB
The copy of the angle was constructed using only a straightedge.
The angles have congruent measurements.
∠ fEd has twice the measure of ∠ aBc.
∠ fE d was made by drawing two rays from point E the same length as overline aB
Answers
GPT-5 mini
Correct answer: The angles have congruent measurements.
Reason: Making a copy of an angle means reproducing its measure, so the new angle is congruent to the original. The other statements need not be true:
- You generally cannot copy an arbitrary angle using only a straightedge — a compass (or some method to transfer distances/angles) is normally required.
- There's no reason the copy would be twice the measure of the original.
- "Drawing two rays from E the same length as segment AB" is meaningless for rays (they are infinite) and not required to copy an angle; copying matches directions/measure, not ray lengths.
Reason: Making a copy of an angle means reproducing its measure, so the new angle is congruent to the original. The other statements need not be true:
- You generally cannot copy an arbitrary angle using only a straightedge — a compass (or some method to transfer distances/angles) is normally required.
- There's no reason the copy would be twice the measure of the original.
- "Drawing two rays from E the same length as segment AB" is meaningless for rays (they are infinite) and not required to copy an angle; copying matches directions/measure, not ray lengths.