Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure from one position to another without turning it.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The coordinates become (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The coordinates become (-x, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you rotate a point (x, y) 90 degrees counterclockwise around the origin?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the new coordinates of the point (x, y) after a 180-degree rotation around the origin?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

What is the effect of a dilation with a scale factor less than 1?

Back

The figure shrinks.

Tags

CCSS.8.G.A.3

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translation, rotation, and reflection.

Tags

CCSS.HSG.CO.A.2