ach of the following. If the construc a. A square, given one side b. A rectangle, given one diagonal c. A triangle with two obtuse angles d. A parallelogram with exactly three right angles a. Can a square be constructed if given one side?

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
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Determine if it is possible to construct each of the following. If the construction is not possible, explain why.
a. A square, given one side
b. A rectangle, given one diagonal
c. A triangle with two obtuse angles
d. A parallelogram with exactly three right angles
a. Can a square be constructed if given one side?
O A. No, it is not possible. At least two sides are needed to create a square.
B. No, it is not possible. At least one side and one angle are needed to create a square.
O C. No, it is not possible. At least two angles are needed to create a square.
O D. Yes, it is possible.
b. Can a rectangle be constructed if given one diagonal?
O A. No, it is not possible. At least one diagonal and one side are needed to create a rectangle.
O B. Yes, it is possible.
O C. No, it is not possible. Both diagonals are needed to create a rectangle.
O D. No, it is not possible. At least both diagonals and one side are needed to create a rectangle.
c. Can a triangle be constructed with two obtuse angles?
Click to select your answer.
6.
R.
W
立
Transcribed Image Text:Determine if it is possible to construct each of the following. If the construction is not possible, explain why. a. A square, given one side b. A rectangle, given one diagonal c. A triangle with two obtuse angles d. A parallelogram with exactly three right angles a. Can a square be constructed if given one side? O A. No, it is not possible. At least two sides are needed to create a square. B. No, it is not possible. At least one side and one angle are needed to create a square. O C. No, it is not possible. At least two angles are needed to create a square. O D. Yes, it is possible. b. Can a rectangle be constructed if given one diagonal? O A. No, it is not possible. At least one diagonal and one side are needed to create a rectangle. O B. Yes, it is possible. O C. No, it is not possible. Both diagonals are needed to create a rectangle. O D. No, it is not possible. At least both diagonals and one side are needed to create a rectangle. c. Can a triangle be constructed with two obtuse angles? Click to select your answer. 6. R. W 立
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