Question

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

What should Alex do for his next step?

A. Use a straightedge to draw a horizontal line that contains point Z.

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

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

D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Answer 1

D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Explanation:

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Hope this helps:)

Answer 2

D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Explanation:

All sides of a square has to be equal.

Here it is given that X an Y are 2 of the vertices of the square. We can say that XY is the length of one side of the square.

So e should make sure that a length of the square on the YZ line is same as the XY line.

So,

Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.