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$∠ A - ∠ C$ is a pair of opposite angles in quadrilateral $A B C D$

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Important Questions on Quadrilateral

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

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>Quadrilateral>Quadrilateral and Its Various Parts

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>Quadrilateral>Quadrilateral and Its Various Parts

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

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

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>Quadrilateral>Quadrilateral and Its Various Parts

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:

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

If angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13

, find the largest angle.

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

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:

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

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:

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

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>Quadrilateral>Quadrilateral and Its Various Parts

In the given figure, if

AB = 10 cm

CD = 7 cm

SD = 4 cm

and

AS = 5 cm

, then

BC = ?

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

Three acute angles of a quadrilateral are

82 °

each. Find out the fourth angle.

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

Identify whether the following polygon is a quadrilateral or not $?$

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EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

A quadilateral having

2

pairs of adjacent sides equal and opposite sides unequal is known as _____.

HARD

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

The angles of the quadrilateral are in the ratio of

3 : 3 : 6 : 6

. Find the measure of each angle.

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

State True or False:

A square is a regular quadrilateral.

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

Explain why a rectangle is a convex quadrilateral.

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

Identify whether the following polygon is a quadrilateral or not $?$

Question Image

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

Draw a rough sketch of the quadrilateral

A B C D

. How many diagonals it has? Are they necessarily equal?

EASY

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

Name a pair of opposite angles.
Question Image

MEDIUM

Mathematics>Geometry>Quadrilateral>Quadrilateral and Its Various Parts

The angles of a quadrilateral are in the ratio

2 : 3 : 4 : 6

. Find the measures of these angles.

∠A-∠C is a pair of opposite angles in quadrilateral ABCD

Important Questions on Quadrilateral

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$∠ A - ∠ C$ is a pair of opposite angles in quadrilateral $A B C D$