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
In a Quadrilateral ABCD, AB = BC and CD = DA, then the quadrilateral is a
  • A
    Rhombus
  • B
    Rectangle
  • C
    Triangle
  • D
    Kite
    Correct
2
Given a triangular prism, then what can we conclude about the lateral faces?
  • A
    Faces are rectangle
  • B
    Faces are Prism
  • C
    Faces are Parallelogram
    Correct
  • D
    Faces are Trapezium
3
Consecutive angles of a Parallelogram are
  • A
    Equal
  • B
    Acute
  • C
    Complementary
  • D
    Supplementary
    Correct
4
A diagonal of a Rectangle is inclines to one side of the rectangle at an angle of \(25^\circ \). The Acute Angle between the diagonals is :
  • A
    \(25^\circ \)
  • B
    \(115^\circ \)
  • C
    \(40^\circ \)
  • D
    \(50^\circ \)
    Correct
5
If a diagonal AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a
  • A
    Rhombus
  • B
    Parallelogram
    Correct
  • C
    Rectangle
  • D
    Triangle
6
In quadrilateral ABCD, if \(\angle \)A = \(60^\circ \) and \(\angle \)B : \(\angle \)C : \(\angle \)D = 2:3:7, then \(\angle \)D is :
  • A
    175\(^\circ \)
    Correct
  • B
    180\(^\circ \)
  • C
    50\(^\circ \)
  • D
    25\(^\circ \)
7
If APB and CQD are 2 parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form, square only if
  • A
    ABCD is a Rhombus
  • B
    Diagonals of ABCD are equal
    Correct
  • C
    Diagonals of ABCD are equal
  • D
    None of these
8
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if
  • A
    Diagonals of ABCD are equal and perpendicular
    Correct
  • B
    Diagonals of ABCD are perpendicular
  • C
    Diagonals of ABCD are equal
  • D
    ABCD is a Rhombus
9
D and E are the mid-points of the sides AB and AC of \(\triangle \)ABC and O is any point on the side BC, O is joined to A. If P and Q are the mid-points of OB and OC res, Then DEQP is
  • A
    A Parallelogram
    Correct
  • B
    A Rhombus
  • C
    A Triangle
  • D
    A Rectangle
10
The bisectors of the angles of a Parallelogram enclose a
  • A
    Rectangle
    Correct
  • B
    Square
  • C
    Rhombus
  • D
    Parallelogram
11
Rhombus is a quadrilateral
  • A
    in which diagonals are inclines at an angle of 60\(^\circ \)
  • B
    in which diagonals bisect opposite angles
    Correct
  • C
    in which diagonals are at right angle
  • D
    in which diagonals bisect each other
12
In Quadrilateral ABCD, \(\angle A\)= 110\(^\circ \), \(\angle B\) = 75\(^\circ \) and \(\angle C\) = 35\(^\circ \). Find \(\angle D\)?
  • A
    140\(^\circ \)
    Correct
  • B
    110\(^\circ \)
  • C
    145\(^\circ \)
  • D
    50\(^\circ \)
13
In Quadrilateral ABCD, \(\angle A\) = (3x) \(^\circ \), \(\angle B\) = (5x) \(^\circ \), \(\angle C\) = (20x) \(^\circ \), \(\angle D\) = (8x) \(^\circ \). Find the value of x?
  • A
    9
  • B
    10
    Correct
  • C
    11
  • D
    20
14
In Quadrilateral \(\angle A\) = 38\(^\circ \), \(\angle C\) = 3\(\angle A\), \(\angle D\) = 4\(\angle A\). Find the value of \(\angle B\)?
  • A
    55\(^\circ \)
  • B
    80\(^\circ \)
  • C
    57\(^\circ \)
  • D
    56\(^\circ \)
    Correct
15
In a Quadrilateral ABCD, \(\angle A\) = \(\angle C\), \(\angle B\) = 2\(\angle A\), \(\angle D\) = \(\frac{1}{2}\) \(\angle A\). Find \(\angle A\), \(\angle B\), \(\angle C\)and \(\angle D\)?
  • A
    100 \(^\circ \), 100 \(^\circ \), 80 \(^\circ \) and 80 \(^\circ \)
  • B
    20 \(^\circ \), 30 \(^\circ \), 160 \(^\circ \) and 160 \(^\circ \)
  • C
    80 \(^\circ \), 160 \(^\circ \), 80 \(^\circ \) and 40 \(^\circ \)
    Correct
  • D
    90 \(^\circ \), 90 \(^\circ \), 90 \(^\circ \) and 90 \(^\circ \)