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 Parallelogram in which AB = 9.5cm and its perimeter is 30cm. Find the length of each side of the Parallelogram?
  • A
    10cm, 10cm, 11cm, 11cm
  • B
    9.5cm, 9.5cm, 5.4cm, 5.6cm
  • C
    9.5cm, 9.5cm, 5.6cm, 5.4cm
  • D
    9.5cm, 9.5cm, 5.5cm, 5.5cm
    Correct
2
ABCD is a Parallelogram in which \(\angle BOA = 35^\circ \), \(\angle DAO = 40^\circ \) and \(\angle COD = 105^\circ \). Find \(\angle ABO\)?
  • A
    45 \(^\circ \)
  • B
    30 \(^\circ \)
  • C
    20 \(^\circ \)
  • D
    40 \(^\circ \)
    Correct
3
ABCD is a Rhombus with one \(\angle BAD = 50^\circ \), Find \(\angle OBC\) and \(\angle OCD\)?
  • A
    65 \(^\circ \) and 25 \(^\circ \)
    Correct
  • B
    60 \(^\circ \)and 20 \(^\circ \)
  • C
    55 \(^\circ \) and 50 \(^\circ \)
  • D
    25 \(^\circ \) and 27 \(^\circ \)
4
Diagonals of a Parallelogram ABCD intersect at O. If \(\angle BOC = 90^\circ \), \(\angle BDC = 50^\circ \) then \(\angle OAB\)is
  • A
    90 \(^\circ \)
  • B
    40 \(^\circ \)
    Correct
  • C
    10 \(^\circ \)
  • D
    50 \(^\circ \)
5
Which of the following is not true for the Parallelogram?
  • A
    Opposite angles are bisected by the diagonals
    Correct
  • B
    Opposite angles are equal
  • C
    Diagonals bisect each other
  • D
    Opposite sides are equal
6
The figure forms by joining the mid-points of the sides of a Rhombus, taken in order are:
  • A
    A Parallelogram
  • B
    A Triangle
  • C
    A Rectangle
    Correct
  • D
    A Rhombus
7
D and E are the mid-points of the sides AB and AC res. Of \(\triangle ABC\). DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is:
  • A
    \(\angle DAE = \angle EFC\)
  • B
    AE = EF
  • C
    DE = EF
    Correct
  • D
    \(\angle ADE = \angle ECF\)
8
If bisectors of \(\angle A\) and \(\angle B\) of a quadrilateral ABCD intersect each other at P, 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
    Quadrilateral whose opposite angles are supplementary
    Correct
  • B
    Rectangle
  • C
    Rhombus
  • D
    Parallelogram
9
The Diagonals AC and BD of a Parallelogram ABCD intersect each other at point O. If \(\angle DAC = 32^\circ \) and \(\angle AOB = 70^\circ \), then \(\angle DBC\) is equal to
  • A
    24 \(^\circ \)
  • B
    86 \(^\circ \)
  • C
    32 \(^\circ \)
  • D
    38 \(^\circ \)
    Correct
10
Given Rectangle ABCD and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA res. If length of a diagonal of Rectangle is 8cm, then the quadrilateral PQRS is a
  • A
    Parallelogram with one side 4cm
  • B
    Square with one side 4 cm
  • C
    Rectangle with one side 4cm
  • D
    Rhombus with each side 4cm
    Correct
11
Opposite angles of a Quadrilateral ABCD are equal. If AB = 4cm, find the length of CD.
  • A
    5cm
  • B
    3cm
  • C
    2cm
  • D
    4cm
    Correct
12
In \(\triangle ABC\), EF is the line segment joining the mid-points of the sides AB and AC. BC = 7.2cm, Find EF.
  • A
    3.5cm
  • B
    3.6cm
    Correct
  • C
    2.6cm
  • D
    3.4cm
13
E Divides AB in the ratio 1 : 3 and also, F divides AC in the ratio 1 : 3. EF = 2.8cm, Find BC
  • A
    11.5cm
  • B
    11.2cm
    Correct
  • C
    11cm
  • D
    12cm
14
Length of the line segment joining the mid-points of two sides of a Triangle is ......... the third side of the Triangle. Complete the Statement
  • A
    Full the length of
  • B
    None of these
  • C
    One-Third the length of
  • D
    Half the length of
    Correct
15
ABCD is a Rectangle; diagonals AC and BD intersect each other at P. If \(\angle APD = 52^\circ \), find \(\angle PCB\) and \(\angle DBA\).
  • A
    100 \(^\circ \) and 260 \(^\circ \)
  • B
    25 \(^\circ \) and 25 \(^\circ \)
  • C
    20 \(^\circ \) and 120 \(^\circ \)
  • D
    26 \(^\circ \) and 24 \(^\circ \)
    Correct