In the parallelogram, D is the mid point of side PQ. Which of the following options is NOT true?

PQ = RS

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PD = $\frac{1}{2}$ RS

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DQ = $\frac{1}{2}$ RS

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PQ = 3PD

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Solution

The correct option is D
PQ = 3PD

Given: PQRS is a parallelogram.
D is the mid point of side PQ

Opposite sides of a parallelogram are equal.
$∴$ PQ = RS

D is the mid point of side PQ.
$∴$ PQ = 2PD = 2DQ

$\Rightarrow$ PD = DQ = $\frac{1}{2}$ RS

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In the parallelogram, D is the mid point of side PQ. Which of the following options is NOT true?

The correct option is D PQ = 3PD Given: PQRS is a parallelogram. D is the mid point of side PQ Opposite sides of a parallelogram are equal. ∴ PQ = RS D is the mid point of side PQ. ∴ PQ = 2PD = 2DQ ⇒ PD = DQ = 12 RS

The correct option is D
PQ = 3PD

Given: PQRS is a parallelogram.
D is the mid point of side PQ

Opposite sides of a parallelogram are equal.
$∴$ PQ = RS

D is the mid point of side PQ.
$∴$ PQ = 2PD = 2DQ

$\Rightarrow$ PD = DQ = $\frac{1}{2}$ RS