4.5 Transformations (Translations, Rotations & Reflections)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including translations, rotations, and reflections.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

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 a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is translated 3 units to the right and 2 units up?

Back

The new coordinates will be (x + 3, y + 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle ABC is rotated 90 degrees clockwise, what happens to the coordinates of point A (x, y)?

Back

The new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the y-axis on the coordinates of a point?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating point (2, 3) left 4 units and down 1 unit?

Back

The new coordinates will be (-2, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5