Points $(6, 8), (3, 7), (- 2, - 2)$ and $(1, - 1)$ are joined to form a quadrilateral. What will be the structure of the quadrilateral?

Rhombus

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Parallelogram

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Square

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Rectangle

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Solution

The correct option is B Parallelogram
The given points are $A (6, 8), B (3, 7), C (- 2, - 2), D (1, - 1)$

$∴$ in quadrilateral $A B C D$ .

$A B = C D = \sqrt{10}, A D = B C = \sqrt{106}$

the slope of $A B = C D = \frac{1}{3}$ and the slope of $A D = B C = \frac{9}{5}$

$∴$ The quadrilateral is a parallelogram.

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Points (6,8),(3,7),(−2,−2) and (1,−1) are joined to form a quadrilateral. What will be the structure of the quadrilateral?

The correct option is B ParallelogramThe given points are A(6,8),B(3,7),C(−2,−2),D(1,−1)∴ in quadrilateral ABCD.AB=CD=√10,AD=BC=√106the slope of AB=CD=13 and the slope of AD=BC=95∴ The quadrilateral is a parallelogram.

Points $(6, 8), (3, 7), (- 2, - 2)$ and $(1, - 1)$ are joined to form a quadrilateral. What will be the structure of the quadrilateral?