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.

Tags

CCSS.4.G.A.3

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Tags

CCSS.4.G.A.3

Front

What is the transformation that maps a shape onto itself?

Back

This transformation is called a symmetry transformation.

Tags

CCSS.HSG.CO.A.3

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.2

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).

Tags

CCSS.HSG.CO.A.2

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5