Is a parallelogramThe coordinates of R areA- 5-2B- 5-3C- 6-2D- 6-3

Byju's Answer

Standard VIII

Mathematics

Line Graph

is a parallel...

Question

In the diagram, PQRS is a parallelogram

The coordinates of R are

(5, 2)

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(5, 3)

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(6, 2)

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(6, 3)

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Solution

The correct option is D (6, 3)
Two pairs of opposite sides of the parallelogram are equal in length.
Length of PQ = (Abscissa of Q) – (Abscissa of P)
= 5 – 1 = 4.
$∴$ Length of SR = 4
(Abscissa of R) = (Abscissa of S) + Length of SR
= 4 + 2 = 6
Ordinate of R = Ordinate of R = 3
$∴$ Coordinates of R are (6, 3).

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