Vidaara.orgClass 9 · Mathematics
CodeVID-M9-08-CT
Quadrilaterals — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- 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 angles of a quadrilateral sum to:
- 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.
The midsegment equals ___ of the third side.
- A.the whole
- B.half
- C.twice
- D.a third
4.
A quadrilateral has how many diagonals?
- A.$1$
- B.$2$
- C.$3$
- D.$4$
5.
The diagonals of a rectangle are:
- A.unequal
- B.equal
- C.perpendicular
- D.parallel
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Three angles of a quadrilateral are $70^\circ,80^\circ,100^\circ$. Find the fourth.
7.
Are opposite angles of a parallelogram equal?
8.
If a side is $12$ cm, the midsegment parallel to it is:
9.
What is the sum of the angles of a quadrilateral?
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 the other three.
12.
In $\triangle ABC$, $D$ and $E$ are midpoints of $AB$ and $AC$; if $BC=14$, find $DE$.
13.
Three angles are equal and the fourth is $120^\circ$. Find each equal angle.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The four angles of a quadrilateral are in ratio $3:5:9:13$. Find all the angles.
15.
In parallelogram $ABCD$, $\angle A=(3x)^\circ$ and $\angle B=(2x+20)^\circ$. Find all four angles.
Answer Key
Section A — Multiple Choice Questions
- (B) $360^\circ$
- (B) equal
- (B) half
- (B) $2$
- (B) equal
Section B — Short Answer (2 marks)
- $110^\circ$.
- Yes.
- $6$ cm.
- $360^\circ$.
Section C — Short Answer (3 marks)
- $36^\circ,72^\circ,108^\circ,144^\circ$.
- $110^\circ,70^\circ,110^\circ$.
- $7$.
- $80^\circ$.
Section D — Long Answer (5 marks)
- $36^\circ,60^\circ,108^\circ,156^\circ$.
- $\angle A=\angle C=96^\circ$, $\angle B=\angle D=84^\circ$.
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