Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 6

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IMPORTANT

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Prove that the bisectors of opposite angles of a parallelogram are parallel.

Important Questions on Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 7

Prove that the bisectors of interior angles of a parallelogram form a rectangle.

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 8

Prove that the bisectors of interior angles of a rectangle form a square.

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 9

In a parallelogram

A B C D

, the bisector of

∠ A

meets

D C

at

E

and

A B = 2 A D

. Prove that

B E

bisects

∠ B

.

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 9

In a parallelogram

A B C D

, the bisector of angle

A

meets

D C

at

E

and

A B = 2 A D

. Prove that:

∠ A E B = 90 °

.

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 10

Point

M

and

N

are taken on the diagonal

A C

of a parallelogram

A B C D

such that

A M = C N

. Prove that

B M D N

is a parallelogram.

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 11

In the following figure, $A B C D$ is a parallelogram. Prove that: $A P$ bisects angle $A$ .

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 11

In the following figure, $A B C D$ is a parallelogram. Prove that: $B P$ bisects angle $B$ .

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9th ICSE

IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 14 - Rectilinear Figures [Quadrilaterals : Parallelogram, Rectangle, Rhombus, Square and Trapezium]>EXERCISE>Q 11

In the following figure, $A B C D$ is a parallelogram. Prove that: $∠ D A P + ∠ C B P = ∠ A P B$

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