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Reflections, Translations and Rotations (F)

This is one type of reflection but you will be dealing with another type in this quiz.

Reflections, Translations and Rotations (F)

Explore reflections, translations and rotations: flip shapes across lines, slide them without turning, and rotate around a point using angles and directions.

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Fascinating Fact:

On a compass rose, a rotation of 90 degrees clockwise about the origin maps (x, y) to (y, −x). Example: (−3, 4) becomes (4, −3).

In GCSE Maths, transformations change a shape’s position without changing its size. You will reflect in a line, translate using a vector, and rotate about a centre by a given angle and direction.

Key Terms

Reflection: A mirror image in a line of reflection. Points are the same perpendicular distance on either side of the line.
Translation: A slide that keeps the shape the same size and orientation, described by a vector (a, b).
Rotation: A turn about a centre by an angle and direction (clockwise or anticlockwise).

Frequently Asked Questions (Click to see answers)

How do I reflect a point in the x-axis or y-axis?

Across the x-axis: (x, y) → (x, −y). Across the y-axis: (x, y) → (−x, y). Count squares to check positions.

What does a translation vector tell me?

The vector (a, b) moves every point a units horizontally and b units vertically. Example: (x, y) → (x + a, y + b); (−2, 3) means left 2 and up 3.

How do I describe a rotation correctly?

State the angle, direction, and centre. For example, “90° clockwise about the origin.” This takes (x, y) to (y, −x).

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You can find more about this topic by visiting BBC Bitesize - Transformations

Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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