AIR MATH

Math Question

19
Select the correct answer.
Mel is teaching Travis how to use a compass and a straightedge to construct a square inscribed in a circle. He tells Travis to begin by using a straightedge to draw any chord of the circle and label it \( \overline{\mathrm{WX}} \). Next, his instructions are to use the tools to construct a chord that is a perpendicular bisector of \( \overline{W x} \) and label it \( \bar{Y} \). Finally, he directs Travis to use a straightedge to draw the four chords that make up the square: Wr \( \overline{\mathrm{NX}} \overline{\mathrm{X}} \), and \( \overline{\mathrm{ZW}} \).
What is the first error, If any, Mel made in his instructions to Travis?
A. Mel's instructions contain no errors.
B. Chord Wx must be a diameter of the circle.
C. Chord \( Y Z \) is found by constructing a segment congruent to \( \overline{W X} \).
D. The four chords that make up the square are the perpendicular bisectors of \( \overline{\mathrm{W} X} \) and \( \overline{Y Z} \).
E. Chord Wx must be congruent to the radius of the circle.

Solution

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