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Vidaara.orgClass 6 · Mathematics
CodeVID-M06-10-DST-01
Distance Between Points - Assignment
Chapter: Coordinate Plane
Topic: Finding Distance Between Points on Horizontal/Vertical Lines
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.
Same $y$-coordinate means the points lie on a:
  • A.vertical line
  • B.horizontal line
  • C.diagonal
  • D.curve
2.
Same $x$-coordinate means the points lie on a:
  • A.vertical line
  • B.horizontal line
  • C.diagonal
  • D.curve
3.
The horizontal distance is the difference of the:
  • A.$y$-coordinates
  • B.$x$-coordinates
  • C.origins
  • D.signs
4.
The distance between $(1,2)$ and $(5,2)$ is:
  • A.$3$
  • B.$4$
  • C.$6$
  • D.$2$
5.
Distance is always:
  • A.negative
  • B.positive
  • C.zero
  • D.a fraction
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the distance between $(1,2)$ and $(5,2)$.
7.
Find the distance between $(3,1)$ and $(3,6)$.
8.
Find the distance between $(-2,0)$ and $(4,0)$.
9.
Find the distance between $(2,-3)$ and $(2,5)$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the distance between $(-4,3)$ and $(2,3)$.
11.
Find the distance between $(5,-2)$ and $(5,7)$.
12.
Find the distance between $(-6,1)$ and $(-1,1)$.
13.
Find the distance between $(0,-4)$ and $(0,4)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A rectangle has vertices $A(1,2)$, $B(7,2)$, $C(7,6)$, $D(1,6)$. Find $AB$, $BC$ and the perimeter.
15.
Points $P(-3,4)$ and $Q(5,4)$ lie on a horizontal line. Find $PQ$ and the coordinates of the midpoint.

Answer Key

Section A — Multiple Choice Questions
  1. (B) horizontal line
  2. (A) vertical line
  3. (B) $x$-coordinates
  4. (B) $4$
  5. (B) positive
Section B — Short Answer (2 marks)
  1. $4$.
  2. $5$.
  3. $6$.
  4. $8$.
Section C — Short Answer (3 marks)
  1. $6$.
  2. $9$.
  3. $5$.
  4. $8$.
Section D — Long Answer (5 marks)
  1. $AB=6$, $BC=4$, perimeter $20$.
  2. $PQ=8$; midpoint $(1,4)$.
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