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
- ARhombus
- BRectangle
- CTriangle
- DKiteCorrect
2
Given a triangular prism, then what can we conclude about the lateral faces?
- AFaces are rectangle
- BFaces are Prism
- CFaces are ParallelogramCorrect
- DFaces are Trapezium
3
Consecutive angles of a Parallelogram are
- AEqual
- BAcute
- CComplementary
- DSupplementaryCorrect
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
- ARhombus
- BParallelogramCorrect
- CRectangle
- DTriangle
6
In quadrilateral ABCD, if \(\angle \)A = \(60^\circ \) and \(\angle \)B : \(\angle \)C : \(\angle \)D = 2:3:7, then \(\angle \)D is :
- A175\(^\circ \)Correct
- B180\(^\circ \)
- C50\(^\circ \)
- D25\(^\circ \)
7
If APB and CQD are 2 parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form, square only if
- AABCD is a Rhombus
- BDiagonals of ABCD are equalCorrect
- CDiagonals of ABCD are equal
- DNone 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
- ADiagonals of ABCD are equal and perpendicularCorrect
- BDiagonals of ABCD are perpendicular
- CDiagonals of ABCD are equal
- DABCD 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
- AA ParallelogramCorrect
- BA Rhombus
- CA Triangle
- DA Rectangle
10
The bisectors of the angles of a Parallelogram enclose a
- ARectangleCorrect
- BSquare
- CRhombus
- DParallelogram
11
Rhombus is a quadrilateral
- Ain which diagonals are inclines at an angle of 60\(^\circ \)
- Bin which diagonals bisect opposite anglesCorrect
- Cin which diagonals are at right angle
- Din which diagonals bisect each other
12
In Quadrilateral ABCD, \(\angle A\)= 110\(^\circ \), \(\angle B\) = 75\(^\circ \) and \(\angle C\) = 35\(^\circ \). Find \(\angle D\)?
- A140\(^\circ \)Correct
- B110\(^\circ \)
- C145\(^\circ \)
- D50\(^\circ \)
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?
- A9
- B10Correct
- C11
- D20
14
In Quadrilateral \(\angle A\) = 38\(^\circ \), \(\angle C\) = 3\(\angle A\), \(\angle D\) = 4\(\angle A\). Find the value of \(\angle B\)?
- A55\(^\circ \)
- B80\(^\circ \)
- C57\(^\circ \)
- D56\(^\circ \)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 \(\angle D\)?
- A100 \(^\circ \), 100 \(^\circ \), 80 \(^\circ \) and 80 \(^\circ \)
- B20 \(^\circ \), 30 \(^\circ \), 160 \(^\circ \) and 160 \(^\circ \)
- C80 \(^\circ \), 160 \(^\circ \), 80 \(^\circ \) and 40 \(^\circ \)Correct
- D90 \(^\circ \), 90 \(^\circ \), 90 \(^\circ \) and 90 \(^\circ \)