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 answer

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.