Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is translated 4 units left?

Back

The x-coordinate decreases by 4.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

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 result of reflecting a point across the x-axis?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of rotating a point 90 degrees counterclockwise around the origin?

Back

The coordinates (x, y) become (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

How do you determine the scale factor in a dilation?

Back

The scale factor is the ratio of the distance from the center of dilation to a point on the image to the distance from the center to the corresponding point on the original shape.

Tags

CCSS.8.G.A.3