Answered: Mel is teaching Travis how to use a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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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 WX. Next, his instructions are to use the tools to construct a chord that is a perpendicular bisector of WX and label it YZ. Finally, he directs Travis to use a straightedge to draw the four chords that make up the square: WY, YX, XZ, and ZW.

What is the first error, if any, Mel made in his instructions to Travis?

Mel's instructions contain no errors.

Chord WX must be a diameter of the circle.

Chord YZ is found by constructing a segment congruent to WX.

The four chords that make up the square are the perpendicular bisectors of WX and YZ.

Chord WX must be congruent to the radius of the circle.

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