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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-11-SPP-01
Special Parallelograms - Assignment
Chapter: Quadrilaterals
Topic: Special Parallelograms: Rectangle, Square, & Rhombus
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.
Each angle of a rectangle is:
  • A.$60^\circ$
  • B.$90^\circ$
  • C.$120^\circ$
  • D.$45^\circ$
2.
A rhombus has:
  • A.all angles equal
  • B.all sides equal
  • C.no equal sides
  • D.one right angle
3.
A square is both a rectangle and a:
  • A.trapezium
  • B.rhombus
  • C.kite
  • D.pentagon
4.
The diagonals of a rectangle are:
  • A.unequal
  • B.equal
  • C.perpendicular
  • D.parallel
5.
The diagonals of a rhombus are:
  • A.equal
  • B.perpendicular
  • C.parallel
  • D.unequal only
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Each angle of a rectangle is:
7.
Are all sides of a rhombus equal?
8.
Are the diagonals of a square equal?
9.
At what angle do the diagonals of a rhombus meet?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
The diagonals of a rhombus are $6$ and $8$. Find its side.
11.
A rectangle has length $12$ and width $5$. Find a diagonal.
12.
The perimeter of a square is $36$. Find its side.
13.
The diagonals of a rhombus are $10$ and $24$. Find its area.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The diagonals of a rhombus are $16$ cm and $12$ cm. Find its side and area.
15.
A rectangle has length $24$ cm and breadth $7$ cm. Find its perimeter, area and the length of a diagonal.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $90^\circ$
  2. (B) all sides equal
  3. (B) rhombus
  4. (B) equal
  5. (B) perpendicular
Section B — Short Answer (2 marks)
  1. $90^\circ$.
  2. Yes.
  3. Yes.
  4. $90^\circ$.
Section C — Short Answer (3 marks)
  1. $5$.
  2. $13$.
  3. $9$.
  4. $120$.
Section D — Long Answer (5 marks)
  1. Side $10$ cm; area $96$ cm$^2$.
  2. Perimeter $62$ cm; area $168$ cm$^2$; diagonal $25$ cm.
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