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Part 07 · Shape and space · Card 1 of 9

Reflection

Flipping a shape over a mirror line so each point lands the same distance on the other side.

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Analogy

Like your reflection in a mirror, flipped but the same size.

Example

Point (3, 2)

In the y-axis: (-3, 2)In the x-axis: (3, -2)In the line y = x: (2, 3)

In practice

Logos and butterflies show reflection symmetry.

Practice

Flashcards

  • Reflect (3, 2) in the y-axis.(-3, 2).

Questions people ask

What stays the same in a reflection?

The shape keeps its size and angles. Only its position and direction change. A point on the mirror line stays where it is. The reflected shape is a mirror image, so it is flipped but not stretched or shrunk. So a reflected shape is always congruent to the original, even though it faces the other way.

How do you describe a reflection fully?

Say it is a reflection and give the equation of the mirror line, such as 'reflection in the y-axis' or 'reflection in the line x = 2'. Without the line, the description is incomplete and loses marks. Mirror lines can be vertical, horizontal or diagonal, such as y = x, so write the equation exactly.