Reflection and Rotation Quiz - CBSE Class 7 Mathematics
Free practice quiz: Reflection and Rotation (CBSE Class 7 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
This CBSE Class 7 Mathematics practice quiz has 18 multiple-choice questions on Reflection and Rotation, and 18 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: 18 questions, freeLearn the key ideas Beta
Reflection and Lines of Symmetry
- A reflection flips a figure over a mirror line, giving a mirror image of it.
- Each image point is the same distance from the mirror line as its original point.
- A line of symmetry divides a figure into two halves that match exactly when folded.
Common mistake: Thinking a reflection changes size or shape. Only the left-right orientation is reversed; lengths, angles and shape stay the same.
Reflecting Points on Axes
- Reflecting over the x-axis keeps x the same and changes the sign of y.
- Reflecting over the y-axis keeps y the same and changes the sign of x.
Common mistake: Mixing up the axes. Over the x-axis, the y-coordinate changes sign. Over the y-axis, the x-coordinate changes sign.
Rotation and Rotational Symmetry
- A rotation turns a figure about a fixed point called the centre of rotation.
- The order is how many times a figure looks exactly the same during one full turn.
- Clockwise means turning the same way as clock hands. Anticlockwise means turning the opposite way.
Common mistake: Counting the starting position twice, or forgetting it. Count each matching position once during one complete turn.
Rigid Transformations
- Reflection, rotation and translation are rigid transformations. They keep shape and size the same.
- Enlargement (dilation) keeps the shape but changes the size, so it is not rigid.
Common mistake: Calling enlargement a rigid transformation. Rigid means both shape and size stay unchanged.
Exam tips
- For letters, fold them in your mind: a vertical, horizontal or slanted fold may match.
- An isosceles triangle's symmetry line passes through the vertex where the two equal sides meet.
- For a regular polygon, lines of symmetry and order of rotation both equal its number of sides.
Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.
Sample questions
What is reflection in symmetry?
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Answer: B. Flipping an object over a line
Reflection in symmetry means flipping an object over a line, creating a mirror image.
Which transformation is NOT a type of rigid transformation?
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Answer: D. Stretching
Rigid transformations such as Reflection, Translation, and Rotation preserve the shape and size of figures, unlike Stretching, which alters them.
What is the reflected image of point (-2, 5) over the y-axis?
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Answer: A. (2, 5)
Reflecting over the y-axis changes the sign of the x-coordinate. So, (-2, 5) becomes (2, 5).
Which polygon has rotational symmetry of order 4?
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Answer: B. Square
A square can be rotated at 90-degree intervals and still appear the same, thus it has an order of rotational symmetry of 4.
In a reflection, what remains unchanged?
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Answer: D. Both shape and size
During a reflection, the shape and size remain unchanged, though the orientation may change.
More questions in this quiz
Answers and explanations are in the full quiz.
- How many lines of symmetry does a regular hexagon have?
- What is the image of a point (3, 4) reflected over the x-axis?
- What do we call a transformation that turns a figure around a fixed point?
- If a shape is rotated 90 degrees clockwise, which direction does it face?
- What is the term for the point about which a figure is rotated?
- If a shape has one line of symmetry, which shape could it be?
- What is the angle of rotation associated with a full turn?
- How many degrees do we rotate to go from one vertex of a square to the next?
- What transformation results in a figure that is the same shape but different size?
- Which of the following does NOT involve reflection?
- Which of the following shapes has rotational symmetry?
- What is the line of symmetry for the alphabet letter 'A'?
- An isosceles triangle has how many lines of symmetry?