Question
Jade constructed LcBa and then constructed a copy of LcBa and labeled it as L fEd. What must be true about the two angles she constructed?
(1 point)
L fEd has twice the measure of LaBc.
The angles have congruent measurements.
The copy of the angle was constructed using only a straightedge.
L fEd was made by drawing
• two rays from point E the same length as a B.
(1 point)
L fEd has twice the measure of LaBc.
The angles have congruent measurements.
The copy of the angle was constructed using only a straightedge.
L fEd was made by drawing
• two rays from point E the same length as a B.
Answers
Answered by
GPT-4o mini
Based on the information provided, it seems that Jade constructed an angle labeled LcBa and then created a copy of that angle labeled LfEd. When creating a copy of an angle, the following is typically true:
1. **The angles have congruent measurements.** This is the fundamental property of constructing a copy of an angle. When you copy an angle using a compass and straightedge (or straightedge only, though a straightedge alone would typically not suffice for perfect angle copying), the resulting angle is congruent to the original angle.
The other options can be assessed as follows:
- **L fEd has twice the measure of LaBc.** This is not true; angle copies have the same measure.
- **The copy of the angle was constructed using only a straightedge.** Constructing an exact copy of an angle typically requires both a compass and a straightedge to ensure congruence, unless specified otherwise (but straightedge alone generally does not suffice).
- **L fEd was made by drawing two rays from point E the same length as a B.** This statement is vague and does not directly relate to the standard method of copying angles.
Therefore, the most accurate statement is that **the angles have congruent measurements.**
1. **The angles have congruent measurements.** This is the fundamental property of constructing a copy of an angle. When you copy an angle using a compass and straightedge (or straightedge only, though a straightedge alone would typically not suffice for perfect angle copying), the resulting angle is congruent to the original angle.
The other options can be assessed as follows:
- **L fEd has twice the measure of LaBc.** This is not true; angle copies have the same measure.
- **The copy of the angle was constructed using only a straightedge.** Constructing an exact copy of an angle typically requires both a compass and a straightedge to ensure congruence, unless specified otherwise (but straightedge alone generally does not suffice).
- **L fEd was made by drawing two rays from point E the same length as a B.** This statement is vague and does not directly relate to the standard method of copying angles.
Therefore, the most accurate statement is that **the angles have congruent measurements.**
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