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Blizzard [7]
2 years ago
9

The following set of coordinates represents which figure?(-5,2), (-3,4), (1,0), (-1,-2)

Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
6 0
It is B, rectangle. Sort of sideways.
faltersainse [42]2 years ago
5 0

Answer:

Rectangle

Step-by-step explanation:

Kite is a quadrilateral in which exactly two pair of adjacent sides are equal.

Rectangle is a quadrilateral in which opposite sides are equal.

Square and rhombus are a quadrilaterals in which all sides are equal.

Given points: (-5,2), (-3,4), (1,0), (-1,-2)

We need to find whether these points represent coordinates of kite , rectangle , rhombus or square .

Let the points be A(-5,2), B(-3,4), C(1,0), D(-1,-2)

We know that distance between points \left (x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

AB=\sqrt{\left (-3+5 \right )^2+\left (4-2 \right )^2}=\sqrt{4+4}=\sqrt{8}\\BC=\sqrt{\left ( 1+3 \right )^2+\left ( 0-4 \right )^2}=\sqrt{16+16}=\sqrt{32}\\CD=\sqrt{\left ( -1-1 \right )^2+\left ( -2-0 \right )^2}=\sqrt{4+4}=\sqrt{8}\\AD=\sqrt{\left ( -1+5 \right )^2+\left ( -2-2 \right )^2}=\sqrt{16+16}=\sqrt{32}

Here, AB = CD and AD = BC, so the given points are coordinates of the rectangle .

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