Q:

# 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.

Accepted Solution

A:
Answer: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. Step-by-step 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.