It is possible to test if a quadrilateral is a square by perform- ing calculations on its diagonals, in this case, AC and BD: A quadrilateral is a square if all three of the following condi- tions are true 1. The diagonals intersect at their midpoints. 2. The diagonals are both the same length. 3. The diagonals are perpendicular. Based on this information, is the figure below a square? If so, give the results of all calculations that allow you to verify that it is. ● If it is not a square, describe which condition or conditions are not met.

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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Transcribed Image Text:-14-13-12-11-10-9-8 FAI -6 -2 -1 ofy 8 7 -6 1- -2 -3- -4 -8 -9 10 11 12 13 14 15 18 20- O 9 10 112 13 14 15 16 17 D
It is possible to test if a quadrilateral is a square by perform-
ing calculations on its diagonals, in this case, AC and BD:
A quadrilateral is a square if all three of the following condi-
tions are true
1. The diagonals intersect at their midpoints.
2. The diagonals are both the same length.
3. The diagonals are perpendicular.
Based on this information, is the figure below a square?
If so, give the results of all calculations that allow you to verify
that it is.
●
●
If it is not a square, describe which condition or conditions
are not met.
Transcribed Image Text:It is possible to test if a quadrilateral is a square by perform- ing calculations on its diagonals, in this case, AC and BD: A quadrilateral is a square if all three of the following condi- tions are true 1. The diagonals intersect at their midpoints. 2. The diagonals are both the same length. 3. The diagonals are perpendicular. Based on this information, is the figure below a square? If so, give the results of all calculations that allow you to verify that it is. ● ● If it is not a square, describe which condition or conditions are not met.
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