Question

Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.

What should Liam do for his next step?

A. Place the point of the compass on point A and draw any arc above it.

B. Use the straightedge to draw a horizontal line that contains point E.

C. Use a straightedge to draw AE¯¯¯¯¯.

D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Answer 1

Explanation:

B

Answer 2

The correct answer is D.

D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Explanation:

You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.

Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc

I hope this helps!