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
ABCD is a Rhombus. Then, find the value of x and y ?
  • A
    75 and 55
  • B
    55 and 65
  • C
    50 and 50
    Correct
  • D
    80 and 80
2
ABCD is a Rectangle. Find the values of x and y ?
  • A
    55 and 110
    Correct
  • B
    100 and 100
  • C
    60 and 120
  • D
    50 and 100
3
ABCD is a Rectangle. Find the values of x and y ?
  • A
    55 and 35
    Correct
  • B
    50 and 60
  • C
    60 and 70
  • D
    120 and 120
4
In Triangle ABC which is right angled at B. Given that AB = 9cm, AC = 15cm and D, E are the mid-points of the sides AB and AC res. Find the length of BC?
Question 4 figure 1
  • A
    12cm
    Correct
  • B
    13cm
  • C
    13.5cm
  • D
    15cm
5
Triangle ABC is right angled at B. Given that AC = 15cm, AB = 9cm and E and D are the mid-points of sides AC and AB res. Calculate the area of \(\triangle \)ADE
Question 5 figure 1
  • A
    None of these
  • B
    13.5 \({\text{c}}{{\text{m}}^{\text{2}}}\)
    Correct
  • C
    13.5 \({\text{c}}{{\text{m}}^{\text{2}}}\)
  • D
    12.5 \({\text{c}}{{\text{m}}^{\text{2}}}\)
6
M,N and P are the mid-points of AB, AC and BC res. If MN = 3cm, NP = 3.5cm and MP = 2.5cm, calculate BC, AB and AC
Question 6 figure 1
  • A
    9cm, 8cm, 11cm
  • B
    6cm, 7cm, 8cm
    Correct
  • C
    2cm, 3cm, 11cm
  • D
    5cm, 6cm, 8cm
7
E and F are the mid-points of the sides AB and AC of a \(\triangle \)ABC. If AB = 5cm, BC = 5cm and AC = 6cm, Then EF is equal to
Question 7 figure 1
  • A
    None of these
  • B
    3cm
  • C
    2.5cm
    Correct
  • D
    4cm
8
In Parallelogram ABCD, bisectors of angles A and B intersect each other at O. The measure of \(\angle AOB\) is
  • A
    120 \(^\circ \)
  • B
    90 \(^\circ \)
    Correct
  • C
    30 \(^\circ \)
  • D
    60 \(^\circ \)
9
D and E are the mid-points of the sides AB and AC. Of \(\triangle \)ABC. If BC = 5.6cm, find DE.
Question 9 figure 1
  • A
    2.8cm
    Correct
  • B
    3cm
  • C
    2.5cm
  • D
    2.9cm
10
E and F are the mid-points of sides AB and AC res. Of the \(\triangle \)ABC ; G and H are the mid-points of the sides AE and AF res. Of the \(\triangle \)AEF. If GH = 1.8cm, Find BC
Question 10 figure 1
  • A
    7.5cm
  • B
    7.2 Cm
    Correct
  • C
    6.5cm
  • D
    6cm
11
In quadrilateral ABCD, \(\angle B = 90^\circ \), \(\angle C - \angle D = 60^\circ \) and \(\angle A - \angle C - \angle D = 10^\circ \). Find \(\angle \)A, \(\angle \)C and \(\angle \)D.
  • A
    150 \(^\circ \), 60 \(^\circ \), 80 \(^\circ \)
  • B
    145 \(^\circ \), 55 \(^\circ \), 20 \(^\circ \)
  • C
    140 \(^\circ \), 95 \(^\circ \), 35 \(^\circ \)
    Correct
  • D
    None of these
12
In Quadrilateral ABCD, \(\angle A + \angle C = 140^\circ \), \(\angle A:\angle C = 1:3\) and \(\angle B:\angle D = 5:6\). Find the values of \(\angle \)A, \(\angle \)B, \(\angle \)C and \(\angle \)D?
Question 12 figure 1
  • A
    100 \(^\circ \), 102 \(^\circ \), 120 \(^\circ \), 10 \(^\circ \)
  • B
    35 \(^\circ \), 100 \(^\circ \), 105 \(^\circ \), 120 \(^\circ \)
    Correct
  • C
    10 \(^\circ \), 20 \(^\circ \), 100 \(^\circ \), 260 \(^\circ \)
  • D
    90 \(^\circ \), 90 \(^\circ \), 100 \(^\circ \), 80 \(^\circ \)
13
If bisector of \(\angle A\) and \(\angle B\) of a quadrilateral ABCD intersect each other at ,of \(\angle B\) and \(\angle C\) at Q of \(\angle C\) and \(\angle D\) at R and of \(\angle D\) and \(\angle A\) at S then PQRS is a
  • A
    Rectangle
  • B
    Quadrilateral whose opposite angles are supplementary
    Correct
  • C
    Parallelogram
  • D
    Rhombus
14
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If \(\angle DAC = 32^\circ \) and \(\angle AOB = 70^\circ \) then, \(\angle DBC\) is equal to
  • A
    \(86^\circ \)
  • B
    \(40^\circ \)
  • C
    \(38^\circ \)
    Correct
  • D
    \(24^\circ \)
15
ABCD is a Rhombus. Then, find the value of x and y ?
  • A
    31 and 59
    Correct
  • B
    29 and 27
  • C
    35 and 49
  • D
    89 and 99