MEDIUM

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In the figure $AB | | DC$ and $AD | | BC, ∠ ADC = 90 °$ , measure the remaining angles and give their values. Try measuring $∠ A = ∠ B = ∠ C = 90 °$ sides $AB$ and $DC$ and sides $AD$ and $BC$ . side $AB = CD$ and side $AD = BC$ .

Important Questions on Basic Geometrical Ideas

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

How many quadrilaterals are there in the given figure?

Question Image

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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:

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

If angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13

, find the largest angle.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

In the given figure, if

AB = 10 cm

CD = 7 cm

SD = 4 cm

and

AS = 5 cm

, then

BC = ?

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

Three acute angles of a quadrilateral are

82 °

each. Find out the fourth angle.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

A quadilateral having

2

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

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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

Question Image

HARD

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

The angles of the quadrilateral are in the ratio of

3 : 3 : 6 : 6

. Find the measure of each angle.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

State True or False:

A square is a regular quadrilateral.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

Explain why a rectangle is a convex quadrilateral.

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

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

Question Image

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Quadrilaterals and their Attributes

Draw a rough sketch of the quadrilateral

A B C D

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

In the figure AB || DC and AD || BC, ∠ADC=90°, measure the remaining angles and give their values. Try measuring ∠A=∠B=∠C=90° sides AB and DC and sides AD and BC. side AB =CD and side AD =BC .

Important Questions on Basic Geometrical Ideas

Learn and Prepare for any exam you want !

In the figure $AB | | DC$ and $AD | | BC, ∠ ADC = 90 °$ , measure the remaining angles and give their values. Try measuring $∠ A = ∠ B = ∠ C = 90 °$ sides $AB$ and $DC$ and sides $AD$ and $BC$ . side $AB = CD$ and side $AD = BC$ .