IMO Olympiad Work Book 9>Chapter 8 - Quadrilaterals>MATHEMATICAL REASONING>Q 16

HARD

9th Foundation

IMPORTANT

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In the given figure, $A B C D$ is a parallelogram in which $P$ is the mid-point of $D C$ and $Q$ is a point on $A C$ such that $C Q = \frac{1}{4} A C$ and $P Q$ product meet $B C$ at $R$ , then,

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Important Questions on Quadrilaterals

HARD

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 8 - Quadrilaterals>MATHEMATICAL REASONING>Q 17

If

A P B

and

C Q D

are two parallel lines, then the bisectors of the angles

A P Q, B P Q, C Q P

and

P Q D

form a

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 8 - Quadrilaterals>ACHIEVERS SECTION (HOTS)>Q 18

By using a given figure of quadrilateral

A B C D,

match the following:

Column-I Column-II
(P) If ABCD is a Parallelogram (1)

25 °

then sum of the angles

X, Y a n d Z

is-
(Q) If ABCD is a rhombus (2)

180 °

where

∠ D = 130 °

, then
the value of

X

is
(R) If ABCD is a rhombus, the (3)

50 °

value of

W

is
(S) If

A B C D

is a Parallelogram, (4)

90 °

where

x + y = 130 °,

then the
value of

∠ B

is

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 8 - Quadrilaterals>ACHIEVERS SECTION (HOTS)>Q 19

Read the statements carefully and state

‘ T'

for true and

‘ F ’

for false.
(i) Diagonals of a parallelogram are perpendicular to each other.
(ii) All four angles of a quadrilateral can be obtuse angles.
(iii) If all sides of a quadrilateral are equal, then it is a rhombus.

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 8 - Quadrilaterals>ACHIEVERS SECTION (HOTS)>Q 20

If the sides

B A

and

D C

of quadrilateral

A B C D

are produced as shown in the given figure, then
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