12/11 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.

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

Explain rotation in geometry.

Back

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

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.

Front

What does it mean to map a figure onto another figure?

Back

To map a figure onto another figure means to apply a sequence of transformations that will move the first figure to coincide with the second figure.

Front

What is the effect of a 180° rotation on a figure?

Back

A 180° rotation turns a figure around a point so that each point moves to a position directly opposite its original position.

Front

How does a reflection across the x-axis affect the coordinates of a point?

Back

A reflection across the x-axis changes the sign of the y-coordinate of each point, while the x-coordinate remains the same.

Front

What is the result of a reflection followed by a translation?

Back

The result is a new position of the figure that has been flipped over a line and then moved in a specific direction.