Areas Of Parallelograms And Triangles CBSE Questions & Answers

Areas Of Parallelograms And Triangles

This is Mathematics Class 09 Areas of Parallelograms and Triangles CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The median of a triangle divides it into two
  • A
    congruent triangles.
  • B
    isosceles triangles.
  • C
    triangles of different areas.
    Correct
  • D
    right angles.
2
The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 16 cm and 12 cm is
  • A
    \(96\;c{m^2}.\)
  • B
    \(24\;c{m^2}.\)
  • C
    \(48\;c{m^2}.\)
    Correct
  • D
    \(28\;c{m^2}.\)
3
The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm is
  • A
    a rhombus of area \(24\;c{m^2}.\)
    Correct
  • B
    a square of area \(26\;c{m^2}.\)
  • C
    a trapezium of area \(14\;c{m^2}.\)
  • D
    a rectangle of area \(24\;c{m^2}\)
4
ABCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD
  • A
    is a rhombus
  • B
    is a parallelogram
  • C
    need not be any of (a), (b) or (c).
    Correct
  • D
    is a rectangles
5
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is
  • A
    it is 2 : 1.
  • B
    it is 3 : 1.
  • C
    it is 1 : 1.
    Correct
  • D
    it is 1 : 2.
6
The mid-point of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to
  • A
    \(ar(\triangle ABC).\)
  • B
    \({1 \over 2}ar(\triangle ABC).\)
    Correct
  • C
    \({1 \over 3}ar(\triangle ABC).\)
  • D
    \({1 \over 4}ar(\triangle ABC).\)
7
ABC is a triangle in which D, E, F are the mid-points of BC, AC and AB respectively. If \((\triangle ABC) = 16c{m^2},then\) (trapezium FBCE) is
Question 7 figure 1
  • A
    \(10\;c{m^2}\).
  • B
    \(12\;c{m^2}\).
    Correct
  • C
    \(4\;c{m^2}\).
  • D
    \(8\;c{m^2}\).
8
If a triangle and a parallelogram are on the same base and between the same parallels, then the ratio of the area of the triangle to the area of the parallelogram is
  • A
    it is 1 : 2.
    Correct
  • B
    it is 1 : 4.
  • C
    it is 1 : 4.
  • D
    it is 3 : 1.
9
Diagonals AC and BD of trapezium ABCD in which \(AB\parallel DC\), intersect each other at O. The triangle which is equal in area to triangle AOD is
Question 9 figure 1
  • A
    \(\triangle DOC.\)
  • B
    \(\triangle AOB.\)
  • C
    \(\triangle BOC.\)
    Correct
  • D
    \(\triangle ADC.\)
10
In the given figure, PQRS is a rectangle, If PS = 8 cm and SR = 4 cm, then the area of \(\triangle ABC\) is
Question 10 figure 1
  • A
    \(12\;c{m^2}.\)
  • B
    \(12\;c{m^2}.\)
  • C
    \(16\;c{m^2}.\)
    Correct
  • D
    \(20\;c{m^2}.\;\)
11
ABCD is a square. DEGH is a rectangle. Two equal parallelogram on the base DE are
Question 11 figure 1
  • A
    ABCD, HDEG.
  • B
    DCFE, DCBA.
  • C
    DEGC, DEFH.
  • D
    DEGH, DEFC.
    Correct
12
In the given figure, the area of quadrilateral ABCD is
Question 12 figure 1
  • A
    \(21\;c{m^2}.\)
  • B
    \(13\;c{m^2}.\)
  • C
    \(42\;c{m^2}.\)
    Correct
  • D
    \(24\;c{m^2}.\)
13
In the given figure if \(AD\parallel BC\)then the triangle which is equal in area to \(\triangle COD\) is
Question 13 figure 1
  • A
    \(\triangle BOA.\)
    Correct
  • B
    \(\triangle AOD.\)
  • C
    \(\triangle COB.\)
  • D
    \(\triangle ADC.\)
14
ABCD is a parallelogram. If AB = 12 cm, AE 7.5 cm, CF = 15 cm, then AD is equal to
Question 14 figure 1
  • A
    6 cm.
    Correct
  • B
    10.5 cm.
  • C
    3 cm.
  • D
    8 cm.
15
ABCD is a parallelogram and E and F are mid-points of AD and BC respectively. P is any point on EF. If area of \(\triangle EFC = 8\;c{m^2},\) then \(ar(\triangle AEP + \triangle BFP)\) is
Question 15 figure 1
  • A
    \(4\;c{m^2}.\)
  • B
    \(8\,c{m^2}.\)
    Correct
  • C
    \(12\;c{m^2}.\)
  • D
    \(16\;c{m^2}.\)