The correct response is:
The angles have congruent measurements.
When you construct a copy of an angle, the two angles are congruent, meaning they have the same measure.
Jade constructed ∠cBa and then constructed a copy of ∠cBa and labeled it as ∠fEd. What must be true about the two angles she constructed?
(1 point)
Responses
The angles have congruent measurements.
The angles have congruent measurements.
∠fEd has twice the measure of ∠aBc.
angle f Ed has twice the measure of angle a c .
∠fEd was made by drawing two rays from point E the same length as aB¯¯¯¯¯¯¯.
angle f upper E d was made by drawing two rays from point upper E the same length as Modifying above a upper B with bar .
7 answers
ARE YOU SURE?
Yes, I am sure. When you construct a copy of an angle, the two angles are congruent, meaning they have the same measure. This is a fundamental property in geometry: if two angles are constructed to be equal, they are congruent.
In the case of Jade constructing ∠cBa and then making a copy labeled ∠fEd, the two angles ∠cBa and ∠fEd will have the same measure.
so the others are false?
Yes, the other statements are false based on the information given:
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"∠fEd has twice the measure of ∠cBa." – This statement is incorrect because if ∠fEd is a copy of ∠cBa, then they must have the same measure, not a multiple of it.
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"∠fEd was made by drawing two rays from point E the same length as aB̅." – This statement is not necessarily accurate. When constructing a copy of an angle, the lengths of the rays do not have to be the same as any specific segment; the important aspect is that the angles must be congruent, not matching the lengths of any sides.
Therefore, the only true statement is that the angles have congruent measurements.
thank you so much!
You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!