Question

Denise is constructing A square in which two of its vertices are points M and N. She has already used her straightedge and compass to construct the lines and arcs shown.
What should Denise do for her next step?

A) use a straightedge to draw a horizontal line that contains point O.

B) use a straightedge to draw MO.
C) place the point of the compass on point M and draw any arc above it.

D) place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass.

Answer 1

Denise is constructing A square.

Note: A square has all sides equal.

We already given two vertices M and N of the square.

And another edge of the square is made by from N.

Because a square has all sides of equal length, the side NO should also be equal to MN side of the square.

Therefore, Denise need to place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass. That would make the NO equals MN.

Therefore, correct option is :

D) place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass.

Answer 2

I'm thinking the answer maybe D) but I'm not 100% sure.

I hope that helps.