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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-08-TYP-01
Types of Quadrilaterals - Assignment
Chapter: Quadrilaterals
Topic: Types of Quadrilaterals and Their Properties
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
In a parallelogram, opposite sides are:
  • A.unequal
  • B.equal
  • C.perpendicular
  • D.zero
2.
The diagonals of a rectangle are:
  • A.unequal
  • B.equal
  • C.perpendicular
  • D.parallel
3.
All sides of a rhombus are:
  • A.unequal
  • B.equal
  • C.parallel only
  • D.perpendicular
4.
The diagonals of a rhombus meet at:
  • A.$45^\circ$
  • B.$90^\circ$
  • C.$60^\circ$
  • D.$30^\circ$
5.
A square is both a rectangle and a:
  • A.trapezium
  • B.rhombus
  • C.kite
  • D.pentagon
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Are opposite angles of a parallelogram equal?
7.
Do the diagonals of a parallelogram bisect each other?
8.
Are the diagonals of a square equal?
9.
Is a rectangle a parallelogram?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
In a parallelogram, one angle is $70^\circ$. Find the other three.
11.
The diagonals of a rhombus are $6$ and $8$. Find its side.
12.
In a rectangle, one diagonal is $10$ cm. Find the other.
13.
The adjacent angles of a parallelogram are in ratio $2:3$. Find them.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
In parallelogram $ABCD$, $\angle A=(3x)^\circ$ and $\angle B=(2x+20)^\circ$. Find all four angles.
15.
The diagonals of a rhombus are $16$ cm and $12$ cm. Find its side and area.

Answer Key

Section A — Multiple Choice Questions
  1. (B) equal
  2. (B) equal
  3. (B) equal
  4. (B) $90^\circ$
  5. (B) rhombus
Section B — Short Answer (2 marks)
  1. Yes.
  2. Yes.
  3. Yes.
  4. Yes.
Section C — Short Answer (3 marks)
  1. $110^\circ,70^\circ,110^\circ$.
  2. $5$.
  3. $10$ cm.
  4. $72^\circ$ and $108^\circ$.
Section D — Long Answer (5 marks)
  1. $\angle A=\angle C=96^\circ$, $\angle B=\angle D=84^\circ$.
  2. Side $10$ cm; area $96$ cm$^2$.
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