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Vidaara.orgClass 5 · Mathematics
CodeVID-M05-08-DST-01
Distance Between Points - Assignment
Chapter: Coordinate Plane (1st Quadrant)
Topic: Horizontal & Vertical Distance Between Points
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 $(2,4)$ and $(9,4)$.
9.
Find the distance between $(4,2)$ and $(4,8)$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the distance between $(2,3)$ and $(8,3)$.
11.
Find the distance between $(5,1)$ and $(5,9)$.
12.
Find the distance between $(1,7)$ and $(6,7)$.
13.
Find the distance between $(3,2)$ and $(3,10)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A rectangle has corners $A(1,2)$, $B(6,2)$, $C(6,5)$, $D(1,5)$. Find $AB$, $BC$ and the perimeter.
15.
Points $P(2,4)$ and $Q(2,9)$ lie on a vertical line. Find $PQ$ and 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. $7$.
  4. $6$.
Section C — Short Answer (3 marks)
  1. $6$.
  2. $8$.
  3. $5$.
  4. $8$.
Section D — Long Answer (5 marks)
  1. $AB=5$, $BC=3$, perimeter $16$.
  2. $PQ=5$; midpoint $(2,6.5)$.
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