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Vidaara.orgClass 8 · Mathematics
CodeVID-M8-14-CT
Transformations — Full Chapter Test
Chapter: Transformations
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
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.
A figure that slides undergoes a:
  • A.reflection
  • B.translation
  • C.rotation
  • D.enlargement
2.
Line symmetry means folded halves:
  • A.differ
  • B.match exactly
  • C.overlap partly
  • D.vanish
3.
An enlargement changes size by a:
  • A.rotation
  • B.scale factor
  • C.reflection
  • D.translation
4.
A mirror image is produced by a:
  • A.translation
  • B.reflection
  • C.rotation
  • D.scaling
5.
A square has how many lines of symmetry?
  • A.$2$
  • B.$3$
  • C.$4$
  • D.$1$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Which transformation slides a shape?
7.
How many lines of symmetry does a rectangle have?
8.
A length of $5$ cm with scale factor $3$ becomes:
9.
Which transformation gives a mirror image?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Reflect the point $(3,2)$ in the $x$-axis.
11.
How many lines of symmetry does a circle have?
12.
A rectangle $4$ cm by $3$ cm is enlarged by scale factor $2$. Find the new dimensions.
13.
Reflect the point $(3,2)$ in the $y$-axis.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
$A(2,3)$ is reflected in the $x$-axis to $A'$, then $A'$ is reflected in the $y$-axis to $A''$. Find $A'$ and $A''$.
15.
State the number of lines of symmetry and the order of rotational symmetry for a square, an equilateral triangle and a regular hexagon.

Answer Key

Section A — Multiple Choice Questions
  1. (B) translation
  2. (B) match exactly
  3. (B) scale factor
  4. (B) reflection
  5. (C) $4$
Section B — Short Answer (2 marks)
  1. Translation.
  2. $2$.
  3. $15$ cm.
  4. Reflection.
Section C — Short Answer (3 marks)
  1. $(3,-2)$.
  2. Infinitely many.
  3. $8$ cm by $6$ cm.
  4. $(-3,2)$.
Section D — Long Answer (5 marks)
  1. $A'(2,-3)$, $A''(-2,-3)$.
  2. Square: $4$ lines, order $4$; triangle: $3$ lines, order $3$; hexagon: $6$ lines, order $6$.
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