Quadrilaterals CBSE Questions & Answers

Quadrilaterals

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

Questions & Answers

1
The length of each side of a rhombus is 10cm and one of its diagonal is of length 16cm. The Length of the other Diagonal is:
  • A
    6cm
  • B
    5cm
  • C
    12cm
    Correct
  • D
    13cm
2
If ABCD is a Parallelogram with 2 Adjacent angles \(\angle A = \angle B\), then the parallelogram is a
  • A
    Rhombus
  • B
    Square
  • C
    Rectangle
    Correct
  • D
    Triangle
3
If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is:
  • A
    \(72^\circ \)
    Correct
  • B
    \(54^\circ \)
  • C
    \(81^\circ \)
  • D
    \(108^\circ \)
4
If area of a Parallelogram with sides ‘a’ and ‘b’ is A and that of a rectangle with sides ‘a’ and ‘b’ is B, then
  • A
    A<B
    Correct
  • B
    A>B
  • C
    A=B
  • D
    None of these
5
The Parallel sides of a trapezium are ‘a’ and ‘b’ res. The line joining the mid-points of its non-parallel sides will be
  • A
    2ab/(a+b)
  • B
    \(\frac{1}{2}\) (a+b)
    Correct
  • C
    \(\frac{1}{2}\) (a-b)
  • D
    None of These
6
Two parallelogram stand on equal bases and between the same parallels. The ratio of their areas is
  • A
    It is 2:1
  • B
    It is 1:2
  • C
    It is 1:1
    Correct
  • D
    It is 3:1
7
Three Statements are given below: (I) In a, Parallelogram the angle bisectors of 2 adjacent angles enclose a right angle. (II) The angle bisector of a Parallelogram form a Rectangle. (III) The Triangle formed by joining the mid-points of the sides of an isosceles triangle is not necessarily an isosceles triangle. Which is True?
  • A
    I and II
    Correct
  • B
    I and III
  • C
    I
  • D
    II
8
Three statements are given below: (I) In a Rectangle ABCD, the diagonals AC bisects \(\angle A\) as well as \(\angle C\). (II) In a Square ABCD, the diagonals AC bisects \(\angle A\) as well as \(\angle C\). (III) In rhombus ABCD, the diagonals AC bisects \(\angle A\) as well as \(\angle C\). Which is True?
  • A
    II
  • B
    III
  • C
    I
  • D
    II and III
    Correct
9
In a triangle P, Q and R are the mid-points of the sides BC, CA and AB res. If AC = 21cm, BC = 29cm and AB = 30cm, find the perimeter of the quadrilateral ARPQ?
  • A
    20cm
  • B
    80cm
  • C
    51cm
    Correct
  • D
    52cm
10
If a Quadrilateral ABCD, \(\angle A\) = 90\(^\circ \) and AB = BC = CD = DA, Then ABCD is a
  • A
    Parallelogram
  • B
    Rectangle
  • C
    Triangle
  • D
    Square
    Correct
11
If a Quadrilateral ABCD, AB \(\parallel \)CD, then ABCD is a
  • A
    Square
  • B
    Rectangle
  • C
    Parallelogram
  • D
    None of these
    Correct
12
ABCD is a Rhombus such that \(\angle ACB\)= 40\(^\circ \), then \(\angle ADB\) is
  • A
    \(40^\circ \)
  • B
    \(100^\circ \)
  • C
    \(60^\circ \)
  • D
    \(50^\circ \)
    Correct
13
The Quadrilateral formed by joining the mid-points of the sides of a Quadrilateral PQRS, taken in order, is a rectangle if
  • A
    Diagonals of PQRS are at right angles.
    Correct
  • B
    None of these
  • C
    PQRS is a Parallelogram
  • D
    PQRS is a Rectangle
14
The Quadrilateral forms by joining the mid-points of the sides of a Quadrilateral PQRS, taken in order, is a Rhombus if
  • A
    PQRS is a Parallelogram
  • B
    None of these
  • C
    Diagonals of PQRS are equal
    Correct
  • D
    PQRS is a Rhombus
15
Given 4 points A, B, C, D such that 3 Points A, B, C are collinear. By joining these points in order we get
  • A
    A Rhombus
  • B
    A Rectangle
  • C
    A Triangle
    Correct
  • D
    A Straight Line