Question

As part of constructing an equiangular triangle, Keyah drew a line segment and marked the endpoints of the line segment as two vertices of the triangle. How can Keyah ensure that her next step will ensure that she creates an equiangular triangle?


Set the width of the compass to the length of the line segment and without changing the width draw a pair of arcs, one on either side of the line segment.

Set the width of the compass to the length of the line segment and without changing the width draw a pair of arcs, one from either end of the line segment.

Set the width of the compass to a little more than half the length of the line segment and without changing the width draw a pair of arcs from either end of the line segment.

Set the width of the compass to a little more than half the length of the line segment and without changing the width draw an arc that crosses the line segment in two places.

Answer 1

yes that easylol

Answer 2

B) Set the width of the compass to the length of the line segment and without changing the width draw a pair of arcs, one from either end of the line segment.

Answer 3

I agree with @Tributized .
If she does that, an equilateral triangle will be created. A triangle is equilateral if an only if it is equiangular because of the isosceles triangle thm (two sides congruent -> angles opposite those sides congruent).