QuestionConstruct the perpendicular bisector of segment $\overline{AB}$ . What's the first step? A. Half length arc. B. Greater than half. C. Less than half. D. Quarter length arc.

Studdy Solution

STEP 1

Assumptions1. We have a line segment $\overline{\mathrm{AB}}$ . . We have a compass and a straightedge for the construction.
3. We are constructing the perpendicular bisector of $\overline{\mathrm{AB}}$ .

STEP 2

The first step to construct the perpendicular bisector of $\overline{\mathrm{AB}}$ is to put the compass point on point $A$ and draw a long arc. Be sure the opening is greater than $\frac{1}{2} AB$ . This is because we want to ensure that the arc crosses the midpoint of the segment $\overline{\mathrm{AB}}$ . This corresponds to option B.
So, the answer is B. "Put the compass point on point $A$ and draw a long arc. Be sure the opening is greater than $\frac{1}{2} AB".

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