EASY

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A quadrilateral can be drawn if at-least _____ parts are given.

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Important Questions on Quadrilaterals

MEDIUM

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

A circle is inscribed in quadrilateral ABCD, touching sides AB, BC, CD and DA at P, Q,R and S, respectively. If $As = 6 cm,$ $BC = 12 cm$ and $CR = 5 cm$ , then the length of AB (in cm) is

MEDIUM

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

In quadrilateral

A B C D,

the bisectors of

∠ A and ∠ B

meet at

O

and

∠ A O B = 64 °, ∠ C + ∠ D = ?

MEDIUM

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

Vertices A, B,C and D of a quadrilateral ABCD lie on a circle,

∠ A

is three times

∠ C

and

∠ D

is two times

∠ B

. What is the difference between the measures of

∠ D

and

∠ C

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

P Q R S

is a cyclic quadrilateral in which

P Q = x c m, Q R = 16.8 c m, R S = 14 c m, P S = 25.2 c m

and

P R

bisects

Q S

. What is the value of

x

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

In quadrilateral

PQRS, RM ⊥ QS, PN ⊥ QS

and

QS = 6 cm

. If

RM = 3 cm

and

PN = 2 cm

, then the area of

PQRS

is:

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

Quardrilateral

A B C D

circumscribes a circle. If

A B = 8 c m, B C = 7 c m

and

C D = 6 c m

, then the length of

A D

is :

MEDIUM

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

From a point P, which is at a distance of

13 cm

from the centre O of a circle, a pair of tangents PQ and PR of length

12 cm

are drawn to the circle. The area of the quadrilateral PQOR (in

{cm}^{2}

) is:

HARD

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

ABCD is cyclic quadrilateral. Sides AB and DC, when produced, meet at E, and sides BC and AD, when produced, meet at F. If

∠ B F A = 60 ° and ∠ A E D = 30 °,

then the measure of

∠ A B C

is _____.

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

In a quadrilateral

ABCD

, the bisector of

∠ C

and

∠ D

meet at

E

. If

∠ CED = 56^{°}

and

∠ A = 49^{°}

, then the measure of

∠ B

is:

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

In a circle with centre

O

AC

and

BD

are two chords.

AC

and

BD

meet at

E

when produced. If

AB

is the diameter and

∠ AEB = 68^{°}

, then the measure of

∠ DOC

is:

HARD

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

Sides

A B

and

D C

of a cyclic quadrilateral

A B C D

are produced to meet at

E

, and sides

A D

and

B C

are produced to meet at

F

. If

∠ A D C = 75 °

,and

∠ B E C = 52 °

, then the difference between

∠ B A D

and

∠ A F B

is:

MEDIUM

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

If angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13

, find the largest angle.

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

A B C D

is a cyclic quadrilateral in which sides

A D

and

B C

are produced to meet at

P

, and sides

D C

and

A B

meet at

Q

when produced. If

∠ A = 60 °

and

∠ A B C = 72 °

, then

∠ D P C - ∠ B Q C =

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

A B C D

is a cyclic quadrilateral in which

A B = 16.5 c m

B C = x c m

C D = 11 c m

A D = 19.8 c m

B D

is bisected by

A C

O

. What is the value of

x

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

In the figure, if $∠ A = 100^{\circ}$ then $∠ C =$ ?

Question Image

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

$O$ is the centre of a circle and $A B$ a diameter. $A B C D$ is a cyclic quadrilateral. $∠ A B C = 65 °$ , $∠ D A C = 40 °$ then the measure of $∠ B C D$ is

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

∠ A = 100 °

of a cyclic quadrilateral

A B C D

, then the value of

∠ C

is:

MEDIUM

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

P Q R S

is a cyclic quadrilateral in which

P Q = 14.4 cm, Q R = 12.8 cm

and

S R = 9.6 cm

. If

P R

bisects

Q S

, what is the length of

P S

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

In the given figure, if

AB = 10 cm

CD = 7 cm

SD = 4 cm

and

AS = 5 cm

, then

BC = ?

EASY

Mathematics>Geometry>Quadrilaterals>Basics of Quadrilateral

Three acute angles of a quadrilateral are

82 °

each. Find out the fourth angle.

A quadrilateral can be drawn if at-least _____ parts are given.

Important Questions on Quadrilaterals

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