Question

Carlotta is constructing an equilateral triangle. She has already constructed the line segment and arc shown. What should Carlotta do for her next step?
Use the straightedge to draw a line that passes through point Q and intersects the arc.

Place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc.

Use the straightedge to draw a line that passes through point P and intersects the arc.

Place the point of the compass on point Q and draw an arc that intersects the first arc, using a width for the opening of the compass that is less than 1/2 PQ.

Answer 1

Given that Carlotta is constructing an equilateral triangle. and that she has already constructed the line segment and arc shown.

What Carlotta should do for her next step is "place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc."