Mathematics: Decide whether quadrilateral JKLM is a rectangle, a rhombus, or a square. More than one answer may apply! J(-2,7) K(7,2) L(-2,-3) M(-11,2)

Decide whether quadrilateral JKLM is a rectangle,

ummsumaiyah3583

29.01.2022

$\\ \tt\longmapsto JK=\sqrt{(7+2)^2+(2-7)^2}=\sqrt{81+25}=\sqrt{106}$

$\\ \tt\longmapsto KL=\sqrt{(-2-7)^2+(-3-2)^2}=\sqrt{81+25}=\sqrt{106}$

$\\ \tt\longmapsto LM=\sqrt{(-11+2)^2+(2+3)^2}=\sqrt{106}$

$\\ \tt\longmapsto JM=\sqrt{(-11+2)^2+(2-7)^2}=\sqrt{106}$

Now

$\\ \tt\longmapsto JL=\sqrt{(-2+2)^2+(-3-7)^2}=\sqrt{100}=10$

$\\ \tt\longmapsto KM=\sqrt{(-11-7)^2+(2-2)^2}=18$

As sides are equal and diagonals are unequal it's a Rhombus

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syd6702

29.01.2022

B. Rhombus

Step-by-step explanation:

Plot the points:

(-2,7), (7,2), (-2,-3), (-11,2)

Connect them in order and connect the diagonals.

See attached.

We see all sides are equal and the diagonals are perpendicular.

This is therefore rhombus

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Maelynne8515

24.08.2020

1.)V=47 2.)G=9 3.)M=6 4.)P=43

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