Determine if it is possible to construct each of the following. If the construction is not possible, explain why.a. A square, given one sideb. A rectangle, given one diagonalc. A triangle with two obtuse anglesd. A parallelogram with exactly three right anglesa. 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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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?

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

Problem 1CT

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Topic Video

Question

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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