How many practice questions are available for Symmetry?

SparkEd Math offers 60+ practice questions for Symmetry across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Symmetry content free on SparkEd Math?

Yes! All Symmetry content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Symmetry differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Symmetry problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Symmetry content aligned with the CBSE syllabus?

Yes, all Symmetry questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 6. The content follows the official curriculum structure and exam pattern.

Symmetry — Class 6 CBSE (2025-26)

About Symmetry — Class 6 CBSE

Identify lines of symmetry and reflective symmetry in shapes and patterns. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 9). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Symmetry

Introduction to Symmetry: What Makes Things Balanced?
Lines of Symmetry: The Fold That Divides
Reflective Symmetry: Mirror, Mirror on the Wall
Symmetry in Geometric Shapes and Alphabets
Summary and Practice: Mastering Symmetry

Interactive lesson · about 15 minutes · checkpoint question after every unit

Symmetry — solved examples for Class 6 CBSE

Example 1easy

Which of the following statements correctly describes a line of symmetry for a figure?

A)A line of symmetry divides a figure into two parts that are identical mirror images of each other.
B)A line of symmetry is any line that passes through the center of a figure.
C)A line of symmetry is a line that connects two opposite vertices of a figure.
D)A line of symmetry divides a figure into two parts of equal area, regardless of their shape.

Step-by-step solution

Step 1: Understand the definition of symmetry. A figure has symmetry if it can be divided by a line into two parts that are exactly alike.
Step 2: Consider the options. Option A describes this property perfectly: two identical mirror images.
Step 3: Options B, C, and D describe other properties (like passing through the center, connecting vertices, or equal area) which might be true for some lines but do not define a line of symmetry itself.

Answer: A line of symmetry divides a figure into two parts that are identical mirror images of each other.

Example 2medium

Which of the following statements best describes a 'line of symmetry' for a two-dimensional figure?

A)A line that divides the figure into two equal parts, but they don't have to be mirror images.
B)A line that passes through the center of the figure.
C)A line that divides the figure into two identical halves that are mirror images of each other when folded along that line.
D)A line that connects two opposite vertices of the figure.

Step-by-step solution

A line of symmetry is a line that divides a figure into two parts such that if you fold the figure along this line, the two parts perfectly coincide.
This means the two halves must be identical and mirror images of each other.

Answer: A line that divides the figure into two identical halves that are mirror images of each other when folded along that line.

Example 3hard

A special type of quadrilateral has exactly two lines of symmetry. One line of symmetry connects the midpoints of two opposite sides, and the other connects the midpoints of the other two opposite sides. What type of quadrilateral MUST this be?

A)Rhombus
B)Square
C)Rectangle
D)Parallelogram (non-rhombus, non-rectangle)

Step-by-step solution

If a line of symmetry connects the midpoints of two opposite sides, it implies that the sides it connects are parallel and equal in length. It also implies that the angles at the ends of these sides are 90 degrees if the other line of symmetry is perpendicular.
When both lines of symmetry connect midpoints of opposite sides, they are perpendicular to each other and bisect the quadrilateral. This geometric property is characteristic of a rectangle.
A square is a special type of rectangle, but 'Rectangle' is the most general correct classification that covers all such quadrilaterals, including squares.

Answer: Rectangle

Practice questions on Symmetry

Q1.easy
An isosceles triangle has two sides of equal length. How many lines of symmetry does an isosceles triangle have?
1. A)0
2. B)1
3. C)2
4. D)3
Show answer
Answer: 1
Hint: Imagine folding an isosceles triangle. Where would you fold it so that both halves match perfectly?
Q2.easy
Ravi claims that a line drawn diagonally from one corner to the opposite corner of a rectangle is always a line of symmetry. Is Ravi correct? If not, why?
1. A)Yes, Ravi is correct because a diagonal divides the rectangle into two equal triangles.
2. B)No, Ravi is incorrect because the two triangles formed are not identical mirror images when folded along the diagonal.
3. C)Yes, Ravi is correct because a rectangle has multiple lines of symmetry.
4. D)No, Ravi is incorrect because a rectangle only has a vertical line of symmetry.
Show answer
Answer: No, Ravi is incorrect because the two triangles formed are not identical mirror images when folded along the diagonal.
Hint: Try folding a rectangular piece of paper along its diagonal. Do the two halves perfectly overlap?
Q3.easy
Imagine a figure that looks like the letter 'L'. If this 'L' shape is drawn on the left side of a vertical line of symmetry, what would its reflection look like on the right side?
1. A)It would look like the letter 'L' itself.
2. B)It would look like the letter 'J'.
3. C)It would look like a backwards 'L' (inverted horizontally).
4. D)It would look like the letter 'T'.
Show answer
Answer: It would look like a backwards 'L' (inverted horizontally).
Hint: Think about what happens when you look at your left hand in a mirror. Does it look like your left hand or your right hand?
Q4.medium
How many lines of symmetry does an equilateral triangle have?
1. A)1
2. B)2
3. C)3
4. D)Infinite
Show answer
Answer: 3
Hint: Consider the special properties of an equilateral triangle, where all sides and all angles are equal.
Q5.medium
A rectangle has a length of 10 cm and a width of 6 cm. How many lines of symmetry does it have?
1. A)0
2. B)1
3. C)2
4. D)4
Show answer
Answer: 2
Hint: Think about folding a rectangular sheet of paper. Where can you fold it so that the two halves match perfectly?
Q6.medium
Which of the following capital letters of the English alphabet has only one line of symmetry?
1. A)H
2. B)E
3. C)A
4. D)X
Show answer
Answer: A
Hint: Visualize or draw each letter and try to find a line along which you can fold it to get two mirror images.
Q7.hard
A regular polygon has a total number of lines of symmetry that is an odd prime number greater than 2. What is the name of this polygon?
1. A)Regular Hexagon
2. B)Regular Pentagon
3. C)Regular Octagon
4. D)Regular Decagon
Show answer
Answer: Regular Pentagon
Hint: Remember that a regular polygon has a number of lines of symmetry equal to its number of sides. Think about which numbers are odd, prime, and greater than 2.
Q8.hard
Consider a figure made by joining five identical squares such that one square is in the center, and the other four are attached to each of its sides, forming a '+' shape (a cross). How many lines of symmetry does this complete figure have?
1. A)2
2. B)4
3. C)6
4. D)8
Show answer
Answer: 4
Hint: Visualize the '+' shape carefully. Look for lines that divide the figure into two identical mirror halves. Don't forget diagonal lines if they exist.
Q9.hard
If a 2D figure has exactly two lines of symmetry that are perpendicular to each other, which of the following statements MUST always be true about the figure?
1. A)It must be a regular polygon.
2. B)It must have at least one pair of parallel sides.
3. C)It must have four equal sides.
4. D)It must have four equal angles.
Show answer
Answer: It must have at least one pair of parallel sides.
Hint: Think about common shapes that have exactly two perpendicular lines of symmetry, like a rectangle or a rhombus. What common property do they share?

These are 9 of the 60 questions available for Symmetry. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.