Zion is given four coordinates of a quadrilateral: (-4,-2),(4,2),(6,-2),(-2,-6). Zion wants to determine what kind of quadrilateral is made. Which of the following statements are true and useful to determine which figure is made? Select all that apply. Both diagonals have a length of 10, so it cannot be a parallelogram. The segments have slopes of 1/2,-2,1/2,-2 so it is a parallelogram. The diagonals are perpendicular to each other, so it is a rhombus or a kite. The lengths of the sides are 8.94 and 10 so it is a rectangle. The lengths of the sides are 8.94 and 10 so it is a square. Adjacent sides have slopes of 1/2 and -2, so they are perpendicular.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Zion is given four coordinates of a quadrilateral: (-4,-2),(4,2),(6,-2),(-2,-6). Zion wants to determine what kind of quadrilateral is made.
Which of the following statements are true and useful to determine which figure is made? Select all that apply.
Both diagonals have a length of 10, so it cannot be a parallelogram.
The segments have slopes of 1/2,-2,1/2,-2 so it is a parallelogram.
The diagonals are perpendicular to each other, so it is a rhombus or a kite.
The lengths of the sides are 8.94 and 10 so it is a rectangle.
The lengths of the sides are 8.94 and 10 so it is a square.
Adjacent sides have slopes of 1/2 and -2, so they are perpendicular.
Transcribed Image Text:Zion is given four coordinates of a quadrilateral: (-4,-2),(4,2),(6,-2),(-2,-6). Zion wants to determine what kind of quadrilateral is made. Which of the following statements are true and useful to determine which figure is made? Select all that apply. Both diagonals have a length of 10, so it cannot be a parallelogram. The segments have slopes of 1/2,-2,1/2,-2 so it is a parallelogram. The diagonals are perpendicular to each other, so it is a rhombus or a kite. The lengths of the sides are 8.94 and 10 so it is a rectangle. The lengths of the sides are 8.94 and 10 so it is a square. Adjacent sides have slopes of 1/2 and -2, so they are perpendicular.
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