Vidaara.orgClass 8 · Mathematics
CodeVID-M08-11-PRP-01
Quadrilaterals & Parallelograms - Assignment
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.
The angle sum of a quadrilateral is:
- A.$180^\circ$
- B.$360^\circ$
- C.$270^\circ$
- D.$540^\circ$
2.
In a parallelogram, opposite sides are:
- A.unequal
- B.equal
- C.perpendicular
- D.zero
3.
In a parallelogram, opposite angles are:
- A.supplementary
- B.equal
- C.complementary
- D.right
4.
The diagonals of a parallelogram:
- A.are equal
- B.bisect each other
- C.are perpendicular
- D.do not meet
5.
Adjacent angles of a parallelogram are:
- A.equal
- B.supplementary
- C.complementary
- D.right
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Three angles of a quadrilateral are $90^\circ, 90^\circ, 90^\circ$. Find the fourth.
7.
In a parallelogram one angle is $60^\circ$. Find the opposite angle.
8.
Do the diagonals of a parallelogram bisect each other?
9.
Adjacent angles of a parallelogram sum to:
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
The angles of a quadrilateral are in ratio $1:2:3:4$. Find them.
11.
In a parallelogram one angle is $70^\circ$. Find all four.
12.
Three angles are $80^\circ, 95^\circ, 100^\circ$. Find the fourth.
13.
Two adjacent angles of a parallelogram are equal. Find each.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
In parallelogram $ABCD$, $\angle A=(2x+20)^\circ$ and $\angle B=(3x-40)^\circ$. Find all four angles.
15.
The angles of a quadrilateral are in ratio $2:3:3:4$. Find all four.
Answer Key
Section A — Multiple Choice Questions
- (B) $360^\circ$
- (B) equal
- (B) equal
- (B) bisect each other
- (B) supplementary
Section B — Short Answer (2 marks)
- $90^\circ$.
- $60^\circ$.
- Yes.
- $180^\circ$.
Section C — Short Answer (3 marks)
- $36^\circ, 72^\circ, 108^\circ, 144^\circ$.
- $70^\circ, 110^\circ, 70^\circ, 110^\circ$.
- $85^\circ$.
- $90^\circ$.
Section D — Long Answer (5 marks)
- $x=40$; $100^\circ, 80^\circ, 100^\circ, 80^\circ$.
- $60^\circ, 90^\circ, 90^\circ, 120^\circ$.
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