MCQ Questions for Class 9 Maths Areas Of Parallelograms And Triangles Quiz 2

For figures on same base and same parallels, the figures have to lie between same parallels

0%
Yes
0%
no
0%
Only in exceptional cases
0%
None of these

All triangles are equal in area.

0%
True
0%
False

Explanation

It is true.

It is clear from the figure that all triangles have same base

$AB$ and all the vertices lay on the same line passing through points

$C,D,E,F$ .

So the perpendicular distance between vertex and base of triangle are equal, which is height of triangle.

So, height and base of all triangles are equal.

And we know that

$\text{Area of triangle}=\cfrac12\times\text{Base x Height}$

So, area of all triangle are equal.

All triangles have the same base and the same altitude.

0%
True
0%
False

Explanation

It is true.

It is clear from the figure that all triangles have same base

$AB$ and all the vertices lay on the same line passing through points

$C,D,E,F$ .

So the perpendicular distance between vertex and base of triangle are equal, which is height of triangle.

Triangles having the same base have equal area.

0%
True
0%
False

Explanation

It is false.

Area of triangle

$= \dfrac {1}{2} \times \text{base} \times \text{height}$

From the formula, it is clear that the area of triangles depends on base and height and not only on the base.

So, triangles having same base may not have same area because of different height

Name the common base on which both the figures,

$\triangle ABF$ and parallelogram

$ABCD$ lies (if any), on the basis of given diagram.

0%
$CD$
0%
$AB$
0%
$AD$
0%
$BC$

On the basis of given diagram and student's responses, choose the name of student whose answer is correct

0%
Student $P$
0%
Student $Q$
0%
Student $R$
0%
Student $S$

In which of the following figures, you find two polygons on the same base and between the same parallels?

0%
0%
0%
0%
None of these

Area of any two parallelograms ia equal if they have common ____ and both are between same parallels.

0%
diagonals
0%
sides
0%
base
0%
none of these

On the basis of given figure, we can conclude that

0%
triangle $DCF$ and parallelogram $ABCD$ lies on same base
0%
triangle $DCF$ and quadrilateral $AECB$ lies on same base
0%
triangle $ADE$ and parallelogram $ABCD$ lies on same base
0%
None of these

Observe the given diagram and write the common base on which figures lie and two parallel lines between which figures lie.

0%
Base $QR$ and Parallels $= QR$ & $PS$
0%
Base $PA$ and Parallels $= QR$ & $AB$
0%
Base $BS$ and Parallels $= QR$ & $PA$
0%
Base $QR$ and Parallels $= AR$ & $PQ$

Observe the given diagram and choose the correct answer:

0%
$ar(\triangle ABC) = ar(\triangle ADB) + ar(\triangle ACD)$
0%
$ar(\triangle ABC) = ar(\triangle ADB) - ar(\triangle ACD)$
0%
$ar(\triangle ABC) = ar(\triangle ADB) + 2 ar(\triangle ACD)$
0%
$ar(\triangle ABC) = ar(\triangle ADB) \times ar(\triangle ACD)$

Name the two parallel lines in-between which both the figures,

$\triangle ABF$ and parallelogram

$ABCD$ lies (if any), on the basis of given diagram.

0%
$AB$ and $CD$
0%
$AF$ and $BC$
0%
$AD$ and $BF$
0%
None of these

In given diagram, there are two different parallelograms with same base

$AB$ and both are between same parallel lines. If the

$AB = 6$

$cm$ and height of the parallelogram

$ABCD$ is

$5$

$cm$ , then what will be the area of parallelogram

$ABEF$

0%
$25$ $cm^2$
0%
$30$ $cm^2$
0%
$36$ $cm^2$
0%
None of these

Explanation

We first begin by observing that ABCD and ABEF lie on the same base AB and between the same parallels.

$\therefore$

$Ar(ABCD) = Ar(ABEF)$

$Ar(ABCD) = 6\times 5 = 30cm^2 = Ar(ABEF)$

In adjoining figure,

$\triangle ABD$ is a right angled at

$A$ in which

$AB = 8$

$cm$ and

$AD = 7$

$cm$ . If

$CD$ is parallel to

$AB$ , then what will be the area of

$\triangle ABC$ ?

0%
$24$ $cm^2$
0%
$26$ $cm^2$
0%
$28$ $cm^2$
0%
$30$ $cm^2$

It is given that

$E, F, G$ and

$H$ are the mid points of the sides of the parallelogram

$ABCD$ . Then can we conclude that

$ar(\triangle EFH) = ar(\triangle FGH)$ ?

0%
Yes
0%
No
0%
Can't say anything
0%
None of these

If two triangles are on the same base and are between same parallel lines they have double each other's area

0%
True
0%
False

$\triangle ADB$ and

$\triangle ABC$ equal in area?

0%
True
0%
False

If two triangles are on same ____ and are between same parallel lines they have equal area.

0%
base
0%
height
0%
length
0%
none of these

A parallelogram and a square are on equal base and between the same parallel lines. Then the ratio of their areas is ____.

0%
$1:1$
0%
$2:1$
0%
$3:1$
0%
$2:3$

In given figure, if

$P$ be a mid point of

$AB$ then

0%
$ar(\triangle APD) = ar(\triangle BPC)$
0%
$ar(\triangle APD) = 2 \times ar(\triangle BPC)$
0%
$ar(\triangle APD) \neq ar(\triangle BPC)$
0%
None of these

CBSE Questions for Class 9 Maths Areas Of Parallelograms And Triangles Quiz 2 - MCQExams.com

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Practice Class 9 Maths Quiz Questions and Answers

CBSE Questions for Class 9 Maths Areas Of Parallelograms And Triangles Quiz 2 - MCQExams.com

0:0:1

Practice Class 9 Maths Quiz Questions and Answers

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