Transformation 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, 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

Define translation in geometry.

Back

Translation is a transformation that slides a shape a certain distance in a specified direction without changing its size, shape, or orientation.

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, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does reflection mean 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 dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, using a scale factor.

Tags

CCSS.8.G.A.3

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to x and b to y, resulting in the new point (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating the point (3, 4) 90 degrees counterclockwise around the origin?

Back

The result is (-4, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of the point (5, -2) when reflected over the x-axis?

Back

The image is (5, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you rotate a point 180 degrees around the origin?

Back

To rotate a point (x, y) 180 degrees around the origin, the new point is (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5