Symmetrical Shapes Quiz - CBSE Class 7 Mathematics
Free practice quiz: Symmetrical Shapes (CBSE Class 7 Mathematics). 13 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
This CBSE Class 7 Mathematics practice quiz has 13 multiple-choice questions on Symmetrical Shapes, and 13 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.
Start quiz: 13 questions, freeLearn the key ideas Beta
Line of Symmetry
- A line of symmetry divides a shape into two halves that are mirror images of each other.
- If you fold the shape along this line, both halves overlap exactly with no part left over.
- A shape may have no line of symmetry, a few lines, or many lines of symmetry.
Common mistake: Assuming every line through the middle is a line of symmetry, for example a rectangle's diagonal. Test it by folding, and check the halves match exactly.
Symmetry in Regular Polygons
- A regular polygon has all sides equal and all angles equal.
- A regular polygon with n sides has exactly n lines of symmetry.
- Irregular shapes, with unequal sides and angles, often have fewer lines of symmetry or none at all.
Common mistake: Applying the rule of n lines to irregular polygons. The rule works only when all sides and all angles are equal.
Rotational Symmetry and Its Order
- A shape has rotational symmetry if it looks exactly the same after turning less than a full turn about its centre.
- The order is how many times the shape looks the same during one full turn of 360°.
- A shape that matches itself only after a complete turn has no rotational symmetry.
Common mistake: Counting the starting position and the full-turn position separately. They are the same position, so count it only once.
Line Versus Rotational Symmetry
- Line symmetry is about folding or mirroring. Rotational symmetry is about turning around a centre point.
- Some shapes have both kinds, some have only one kind, and some have neither.
- A shape with all sides and all angles unequal usually has no symmetry of either kind.
Common mistake: Thinking a shape with a line of symmetry must also have rotational symmetry. A shape can fold evenly yet not match itself when turned.
Exam tips
- Picture folding the shape along each possible line to check whether the halves match.
- For rotation, imagine tracing the shape and turning the tracing slowly around its centre.
- Check first whether a polygon is regular, then use n for both lines and order.
Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.
Sample questions
How many lines of symmetry does a rectangle have?
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Answer: B. 2
A rectangle has two lines of symmetry, one vertical and one horizontal, that divide it into two equal halves.
What is the line of symmetry for an equilateral triangle?
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Answer: C. 3
An equilateral triangle has three lines of symmetry, each line from a vertex to the midpoint of the opposite side.
Which of the following statements is true about symmetrical shapes?
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Answer: C. They can have various types of symmetry
Symmetrical shapes can exhibit different types of symmetry: reflectional, rotational, or translational.
What is the result of folding a heart shape along its line of symmetry?
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Answer: A. Two equal parts
When a heart shape is folded along its vertical line of symmetry, it creates two equal halves.
Which of the following terms describes a figure that can be rotated to match itself at least one time during a full rotation?
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Answer: B. Rotational symmetry
Rotational symmetry occurs when an object can be rotated around a center point and still appear the same at certain angles.
More questions in this quiz
Answers and explanations are in the full quiz.
- A kite has how many lines of symmetry?
- How do you identify lines of symmetry in a shape?
- In a regular hexagon, how many lines of symmetry are there?
- What happens to the lines of symmetry when you fold the paper along them?
- Which shape has rotational symmetry of order 4?
- What is the order of rotational symmetry for a pentagon?
- Which shape does NOT possess any symmetry?
- When a figure is rotated 180 degrees and looks the same as it did before, it is said to have what kind of symmetry?