HARD

Earn 100

Let $A B C D E F$ be a hexagon such that the diagonals $A D, B E$ and $C F$ intersect at the point $O$ , and the area of the triangle formed by any three adjacent points is $2$ sq. units (for example, area of $Δ B C D$ is $2$ sq. units). Find the area (in sq. units) of the hexagon.

50% studentsanswered this correctly

Important Questions on Quadrilaterals

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

In quadrilateral

A B C D,

the bisectors of

∠ A and ∠ B

meet at

O

and

∠ A O B = 64 °, ∠ C + ∠ D = ?

EASY

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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:

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

Three acute angles of a quadrilateral are

82 °

each. Find out the fourth angle.

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

Let

A B C D

be a trapezium, in which

A B

is parallel to

C D, A B = 11, B C = 4, C D = 6

and

D A = 3

. The distance between

A B

and

C D

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

If angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13

, find the largest angle.

EASY

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

In the given figure, if

AB = 10 cm

CD = 7 cm

SD = 4 cm

and

AS = 5 cm

, then

BC = ?

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

How many different (mutually non-congruent) trapeziums can be constructed using four distinct side lengths from the set

\{1, 3, 4, 5, 6\}

EASY

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

Shape made by the bisectors of angles of a parallelogram is

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

In the figure given below, a rectangle of perimeter $76$ units is divided into $7$ congruent rectangles:

Question Image

What is the perimeter of each of the smaller rectangles?

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

Let

A B C D

be a trapezium with

A D

parallel to

B C

. Assume there is a point

M

in the interior of the segment

B C

such that

A B = A M

and

D C = D M .

Then, the ratio of the area of the trapezium to the area of

Δ A M D

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

$5 : 18$ is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

EASY

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

Question Image

What is the area of this trapezoidal garden (All measurements are in cm)?

1. $60$ sq.cm
2. $180$ sq.cm
3. $210$ sq.cm
4. $240$ sq.cm

EASY

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

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:

HARD

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

Let

A B C

be a triangle with sides

a, b, c

. Then lengths of medians of the triangle formed by the medians of the triangle

A B C

are

MEDIUM

Mathematics>Mathematics - Xth Grade>Quadrilaterals>Properties of a Parallelogram

How many quadrilaterals are there in the given figure?

Question Image

Let ABCDEF be a hexagon such that the diagonals AD, BE and CF intersect at the point O, and the area of the triangle formed by any three adjacent points is 2 sq. units (for example, area of ΔBCD is 2 sq. units). Find the area (in sq. units) of the hexagon.

Important Questions on Quadrilaterals

Learn and Prepare for any exam you want !

Let $A B C D E F$ be a hexagon such that the diagonals $A D, B E$ and $C F$ intersect at the point $O$ , and the area of the triangle formed by any three adjacent points is $2$ sq. units (for example, area of $Δ B C D$ is $2$ sq. units). Find the area (in sq. units) of the hexagon.