Which of these is a correct step in constructing congruent angles?

Use a straightedge and draw an arc across the first arc from a leg of the given angle.
Use a straightedge to measure the width between the points where the first arc cuts both legs of the given angle.
Use a compass and draw an arc across both the legs of the given angle.
Use a compass and join points to make the new leg of the congruent angle.

1 answer

In constructing congruent angles, the correct steps typically involve the following sequence:

Use a compass to measure the width between the points where the first arc cuts both legs of the given angle. This step ensures that you replicate the distance of the angle's spread accurately.
Use a compass and draw an arc across both the legs of the given angle. This arc will intersect the legs of the angle and create points that can be used to replicate the angle.
Use a straightedge and join the points to make the new leg of the congruent angle. This step allows you to create the final congruent angle by connecting the vertex to the points where the arc intersects.

The option "Use a compass and draw an arc across both the legs of the given angle." refers to a necessary step earlier in the process and could be considered one of the correct steps. However, it's important to note that all the steps listed contribute to the procedure, but the sequence and selection of specific actions depend on what part of the construction process you are focusing on.