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Class 9 Practice – Level 3 – Set 2 Areas of Parallelograms and Triangles
Total questions: 15
1.
In a parallelogram PQRS. The Altitude corresponding to sides PQ and PS are respectively. 7 cm and 8 cm find PS, if PQ=10 cm.
12.46 cm
16.2 cm
8.75 cm
18.3 cm
None
2.
WXYZ is a parallelogram with XP⊥WZ and ZQ⊥WX. If WX = 8 cm, XP=8 cm and ZQ=2 cm, find YX.
2 cm
6 cm
4 cm
8 cm
None
3.
The base BC of triangle ABC is divided at D so that BD=$\displaystyle \dfrac{1}{2}$ DC. Area of △ABD=
1/2 of the area of △ABC
1/3 of the area of △ABC
1/4 of the area of △ABC
1/6 of the area of △ABC
None
4.
In △ABC,D is the mid-point of AB.P is any point of BC.CQ∥PD meets AB in Q. Then area of (△BPQ) is equal to
1/2 area of (△ABC)
3/2 area of (△ABC)
5/2 area of (△ABC)
1/4 area of (△ABC)
None
5.
In the figure, compute the area of quadrilateral ABCD.
82 cm²
114 cm²
90 cm²
154 cm²
None
6.
In the figure, ∠AOB=90°,AC=BC,OA=12 cm and OC=6.5 cm. Find the area of △AOB.
30 cm²
15 cm²
45 cm²
65 cm²
None
7.
BD is a median of a triangle ABC. F is a point on AB such that CF intersects BD at E and BE = ED. If BF = 5 cm, BA is equal to 5k then k is A 1
1
2
3
4
None
8.
In a △ABC,E is the mid-point of median AD. Then area of ( △BED) is equal to k/4 times area of Δabc
4
3
2
1
None
9.
ABC is a triangle in which D is the mid-point of BC and E is the mid-point of AD. Find the ratio of the area of △BED and area of △ABC.
1:3
1:1
1:2
2:3
None
10.
The figure formed by joining the consecutive mid-points of any rhombus is always
A rectangle.
A rhombus
A parallelogram
A square
None
11.
In the given Figure, ABCD,DCFE and ABFE are parallelograms. then ar(ADE) = ar(BCF).
Yes
No
None
12.
In fig, ABCD is a parallelogram and BC is produced to a point Q such that AD=CQ. If AQ intersect DC at P, then ar(BPC)=ar(DPQ).
True
False
None of these
Can't say
None
13.
ABCD is a trapezium with AB∥DC. A line parallel to AC intersects AB at X and BC at Y. then ar(△ADX)=ar(△ACY)
True
False
None
14.
In fig, ar(DRC)=ar(DPC) and ar(BDP)=ar(ARC). then both the quadrilaterals ABCD and DCPR are trapeziums.
Yes
No
None
15.
The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB (produced) at Q and then parallelogram PBQR is completed (figure). Find ar(ABCD) : ar(PBQR).
1:1
2:3
1:2
2:1
None
1 out of 15
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