Use the image to answer the question.
Acute angles upper B and upper E are formed are marked as congruent. The rays extending from upper B are a and c. The rays extending from upper E are d and f.
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
∠fEd has twice the measure of ∠aBc.
angle f upper E d has twice the measure of angle a upper B c .
The copy of the angle was constructed using only a straightedge.
The copy of the angle was constructed using only a straightedge.
∠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 .
The angles have congruent measurements.
The angles have congruent measurements.
∠fEd has twice the measure of ∠aBc.
The copy of the angle was constructed using only a straightedge.
∠fEd was made by drawing two rays from point E the same length as aB¯¯¯¯¯¯¯.
The angles have congruent measurements.
whats the answer
∠fEd has twice the measure of ∠aBc.
The copy of the angle was constructed using only a straightedge.
∠fEd was made by drawing two rays from point E the same length as aB¯¯¯¯¯¯¯.
The angles have congruent measurements.
To answer this question using the given image, you can visually examine the construction and the angles involved.
From the image, we can see that angle cBa is constructed first, and it is labeled as angle fEd when copied.
In terms of the relationship between these two angles, we can observe the following:
1. ∠fEd has twice the measure of ∠cBa.
This means that angle fEd is two times larger than angle cBa.
2. The copy of the angle was constructed using only a straightedge.
This implies that no protractor or other measuring tool was used to create the copy of the angle. Only a straightedge was used to create the rays of the angle.
3. ∠fEd was made by drawing two rays from point E the same length as aB¯¯¯¯¯¯¯.
This indicates that angle fEd was created by extending the rays from point E to the same length as the rays of angle cBa.
4. The angles have congruent measurements.
This means that angle cBa and angle fEd have the same measure or size.
Therefore, the correct answer is:
∠fEd has twice the measure of ∠cBa.
The copy of the angle was constructed using only a straightedge.
∠fEd was made by drawing two rays from point E the same length as aB¯¯¯¯¯¯¯.
The angles have congruent measurements.