MEDIUM

Earn 100

Draw a square whose diagonal measure is $8 .2 cm .$

Important Questions on Quadrilateral : Constructions and Types

MEDIUM

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

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 : Constructions and Types>Construction of Special Quadrilaterals

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 : Constructions and Types>Construction of Special Quadrilaterals

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 : Constructions and Types>Construction of Special Quadrilaterals

Draw a rectangle of length

4 cm

, breadth

3 cm

and draw a square of the same Area.

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

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>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

Using a ruler and a compass only construct a semi-circle with diameter

BC = 7 cm

. Locate a point

A

on the circumference of the semi-circle such that

A

is equidistant from

B

and

C

. Complete the cyclic quadrilateral

A B C D

, such that

D

is equidistant from

A B

and

B C

. Measure

∠ A D C

and write it down.

MEDIUM

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

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>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

Construct a cyclic quadrilateral

A B C D

in which

A B = 6 cm, A C = 7 cm, B C = 6 cm

and

A D = 4.2 cm

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

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 : Constructions and Types>Construction of Special Quadrilaterals

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 : Constructions and Types>Construction of Special Quadrilaterals

Draw a rectangle of

4 c e n t i m e t r e s

and breadth

3 c e n t i m e t r e s

. Draw a square having the same area of the rectangle.

MEDIUM

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

If angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13

, find the largest angle.

MEDIUM

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

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 : Constructions and Types>Construction of Special Quadrilaterals

In the given figure, if

AB = 10 cm

CD = 7 cm

SD = 4 cm

and

AS = 5 cm

, then

BC = ?

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

Three acute angles of a quadrilateral are

82 °

each. Find out the fourth angle.

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

A quadrilateral is convex if for each side, the remaining_____lie on the same side of the line containing the side. (faces / vertices)

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

A quadrilateral has _____ sides.

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

A point is in the interior of a convex quadrilateral, if it is in the _____ of its two opposite angles.

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

In quadrilateral

WXYZ

, the pairs of opposite angles are

∠ W and ∠ Y

∠ X and ∠

_____.

EASY

Mathematics>Geometry>Quadrilateral : Constructions and Types>Construction of Special Quadrilaterals

The diagonals of the quadrilateral

DEFG

are

DF

and _____.

Draw a square whose diagonal measure is 8.2cm.

Important Questions on Quadrilateral : Constructions and Types

Learn and Prepare for any exam you want !

Draw a square whose diagonal measure is $8 .2 cm .$