Transformations

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, called the image.

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

What is a dilation in geometry?

Back

A 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

How do you find the scale factor in a dilation?

Back

The scale factor is found by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the original figure.

Tags

CCSS.8.G.A.3

Front

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

Back

When reflected over the x-axis, the coordinates change to (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

When reflected over the y-axis, the coordinates change to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 90° counterclockwise about the origin?

Back

The coordinates change to (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The coordinates change to (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x, y) 270° counterclockwise about the origin?

Back

The coordinates change to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle has vertices at (2, 3), (4, 5), and (6, 7), what are the new coordinates after a dilation with a scale factor of 2?

Back

The new coordinates will be (4, 6), (8, 10), and (12, 14).

Tags

CCSS.8.G.A.3