Caleb constructs a square inscribed within the circle centered at C with diameter AB. After making two larger circles, Caleb uses the intersection of the two circles to construct perpendicular bisector EF of diameter AB. Caleb's construction is shown in the figure. Which of the following statements justifies why Caleb must first construct the perpendicular bisector of diameter AB in order to inscribe a square within circle C? Select one: O A. The diagonals of a square bisect angles and are not congruent. O B. A square has four congruent sides and four right angles. O C. The diagonals of all parallelograms bisect each other and are congruent. O D. The diagonals of a square bisect each other and are perpendicular.
Caleb constructs a square inscribed within the circle centered at C with diameter AB. After making two larger circles, Caleb uses the intersection of the two circles to construct perpendicular bisector EF of diameter AB. Caleb's construction is shown in the figure. Which of the following statements justifies why Caleb must first construct the perpendicular bisector of diameter AB in order to inscribe a square within circle C? Select one: O A. The diagonals of a square bisect angles and are not congruent. O B. A square has four congruent sides and four right angles. O C. The diagonals of all parallelograms bisect each other and are congruent. O D. The diagonals of a square bisect each other and are perpendicular.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:Caleb constructs a square inscribed within the circle centered at C with diameter AB. After making two larger circles, Caleb uses the intersection of the two
circles to construct perpendicular bisector EF of diameter AB. Caleb's construction is shown in the figure.
Which of the following statements justifies why Caleb must first construct the perpendicular bisector of diameter AB in order to inscribe a square within circle
C?
Select one:
O A. The diagonals of a square bisect angles and are not congruent.
O B. A square has four congruent sides and four right angles.
O C. The diagonals of all parallelograms bisect each other and are congruent.
O D. The diagonals of a square bisect each other and are perpendicular.
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Given:
A circle with diameter AB and center C.
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