HGEO Ch. 4 Transformations

Front

What is a transformation in geometry?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What are the main types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

Define translation in geometry.

Back

A translation is a transformation that moves every point of a shape the same distance in the same direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a rotation in geometry?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.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.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is dilation in geometry?

Back

A 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 perform a 90° clockwise rotation on a point (x, y)?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the result of translating the point (2, 3) by (-3, -9)?

Back

The new coordinates will be (-1, -6).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If triangle ABC is reflected over the x-axis, what happens to the coordinates of point A (x, y)?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3