PQRS is a quadrilateral- If - P - R then the quadrilateral PQRS ia aA- trapeziumB- parallelogramC- kite

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Standard VIII

Mathematics

Opposite Angles in a Parallelogram Are Equal

PQRS is a qua...

Question

PQRS is a quadrilateral. If $∠ P = ∠ R$ then the quadrilateral PQRS ia a

trapezium

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parallelogram

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kite

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Solution

The correct option is B parallelogram
If the opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.
In quadrilateral PQRS $∠ P$ and $∠ R$ are opposite angles and they are equal.
$∴$ PQRS is a parallelogram.

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If bisectors of $∠ A a n d ∠ B$ of a quadrilateral ABCD intersect each other at P, of $∠ B a n d ∠ C$ at Q, of $∠ C a n d ∠ D$ at R and of $∠ D a n d ∠ A$ at S then PQRS is a

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Question 47
The angles P, Q, R and S of a quadrilateral are in the ratio 1 : 3 : 7 : 9. Then, PQRS is a
a) Parallelogram
b) Trapezium with $P Q ∥ R S$
c) Trapezium with $Q R ∥ P S$
d) Kite

Use the following information to answer the next question.

In the given figure, l || m and lines p and q intersect at point O.

In the given figure, quadrilateral ABCD is a

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PQRS is a quadrilateral. If ∠P=∠R then the quadrilateral PQRS ia a

The correct option is B parallelogramIf the opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram. In quadrilateral PQRS ∠P and ∠R are opposite angles and they are equal. ∴ PQRS is a parallelogram.

PQRS is a quadrilateral. If $∠ P = ∠ R$ then the quadrilateral PQRS ia a

The correct option is B parallelogram
If the opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.
In quadrilateral PQRS $∠ P$ and $∠ R$ are opposite angles and they are equal.
$∴$ PQRS is a parallelogram.