Q:

Ricardo is constructing a line through point P that is perpendicular to line m. He has already constructed the arc shown.He places his compass on point X to construct an arc.What must be true about the width of the compass opening when Ricardo draws the arc?It must be less than 1/2XY.It must be equal to XY .It must be equal to PX .It must be greater than 12XY.

Accepted Solution

A:
Answer:It must be greater than 1/2XY. Step-by-step explanation:We draw an arc from point X below the arc that passes through X and Y.  Keeping our compass the same width, we will draw another arc from point Y below, intersecting the first arc.If the width of the compass is not set to more than 1/2XY, then the two arcs will not intersect and we will not complete our construction.