two pairs of adjacent sides are equal

opposites sides are always equal and parallel.

one pair of adjacent sides is equal

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Sum of the four interior angles of a quadrilateral is $360 °$ .

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Important Questions on Polygon

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Mathematics>Geometry>Polygon>Polygon and its Types

All congruent polygon are _____.

MEDIUM

Mathematics>Geometry>Polygon>Polygon and its Types

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>Polygon>Polygon and its Types

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>Polygon>Polygon and its Types

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

EASY

Mathematics>Geometry>Polygon>Polygon and its Types

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>Polygon>Polygon and its Types

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

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Mathematics>Geometry>Polygon>Polygon and its Types

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:

MEDIUM

Mathematics>Geometry>Polygon>Polygon and its Types

If angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13

, find the largest angle.

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Mathematics>Geometry>Polygon>Polygon and its Types

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>Polygon>Polygon and its Types

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>Polygon>Polygon and its Types

In the given figure, if

AB = 10 cm

CD = 7 cm

SD = 4 cm

and

AS = 5 cm

, then

BC = ?

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Mathematics>Geometry>Polygon>Polygon and its Types

Three acute angles of a quadrilateral are

82 °

each. Find out the fourth angle.

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Mathematics>Geometry>Polygon>Polygon and its Types

All squares are trapeziums.

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Mathematics>Geometry>Polygon>Polygon and its Types

A B ∥ D C, A B = 7 cm, B C = 6 cm, A D = 6.5 cm

and

∠ B = 70 °

, then which figure can be constructed?

EASY

Mathematics>Geometry>Polygon>Polygon and its Types

Name the quadrilateral whose diagonals are equal.

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Mathematics>Geometry>Polygon>Polygon and its Types

The distance between the two parallel sides of a trapezium is called the height of the trapezium.

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Mathematics>Geometry>Polygon>Polygon and its Types

In a kite,

MEDIUM

Mathematics>Geometry>Polygon>Polygon and its Types

To construct a kite, which of the following is necessary?

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Mathematics>Geometry>Polygon>Polygon and its Types

$SIDE$ is a kite in which diagonals $SD$ and $EI$ intersect at point $O$ . Give reasons for the following:

$∠ DEO = ∠ SEO$

MEDIUM

Mathematics>Geometry>Polygon>Polygon and its Types

$TURN$ is a kite in which diagonals $TR$ and $NU$ intersects at point $O$ . Find the value of $x$ and $y$

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Sum of the four interior angles of a quadrilateral is 360°.

Important Questions on Polygon

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Sum of the four interior angles of a quadrilateral is $360 °$ .