Identifying Transformations & Symmetry Review

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is the transformation that maps a shape onto itself?

Back

This transformation is called a symmetry transformation.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is the effect of reflecting a shape across the x-axis?

Back

Reflecting a shape across the x-axis changes the sign of the y-coordinates of the points of the shape.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

What is the transformation notation for translating a point (x, y) by (a, b)?

Back

The transformation notation is (x, y) → (x + a, y + b).

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning they can be made to coincide by a series of transformations.

Front

What is the transformation that maps triangle ABC to triangle A'B'C' if A' is 9 units left and 4 units up from A?

Back

The transformation is (x, y) → (x - 9, y + 4).

Front

What is the effect of reflecting a shape across the y-axis?

Back

Reflecting a shape across the y-axis changes the sign of the x-coordinates of the points of the shape.