Question

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

use a straightedge to measure the width between the points where the first arc cuts both legs of 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

Answer 1

triangles consist of 3 straight lines. An arc is a curved line.

Answer 2

We can use a little reasoning and eliminate some of these choices.

"use a straightedge and draw an arc across the first arc from a leg.

- Straightedges draw straight lines, not arcs. Compasses are used to draw arcs.

"use a straightedge to measure the width between the points where the first arc cuts both legs of given angle"

- Straightedges are not used to measure lengths.

"use a compass and draw an arc across both the legs of the given angle"

- This is OK.

"use a compass and join points to make the new leg of the congruent angle "

- Compasses draw arcs, they do not join points. The straightedge is used to join points to make legs/line segments.

By process of elimination of the absurd choices, the answer is pretty clear.

Answer 3

@ibvince
Does that make sense to you?

Answer 4

Yes, thank you.