Question

Help!

Math Torture!

Adam is constructing an equilateral triangle. He has already constructed the line segment and arcs shown.



What should Adam do for his next step?

A. Place the point of the compass on point X and draw an arc, using a width for the opening of the compass that is greater than 12XR.

B. Place the point of the compass on point X and draw an arc, using XR as the width for the opening of the compass.

C. Use the straightedge to draw XR←→ and XS←→.

D. Use the straightedge to extend RS¯¯¯¯¯ in both directions.

Answer 1

C. Use the straightedge to draw XR←→ and XS←→.

Explanation:

Adam has drawn the arcs by using RS distance as the radius of the circle and mid points as R and S.

So the point X is the same distance from R and S.

So now Adam has to use the straightedge to draw XR←→ and XS←→.

Then, XR = XS = RS

So it is an equilateral triangle.

Therefore, the correct answer is C.