Transformations-Dilations,Translations, Reflections, & Rotations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the four main types of transformations?

Back

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

Front

What is a translation?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape, using a scale factor.

Front

What is the algebraic rule for a 270° counterclockwise rotation?

Back

(x, y) → (y, -x) is the algebraic rule for a 270° counterclockwise rotation.

Front

When translating a point left or right, which coordinate is affected?

Back

The x-coordinate is affected when translating a point left or right.

Front

How do you translate a point 2 units to the right and 8 units down?

Back

To translate a point P(x, y) to P'(x+2, y-8).

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the size of the image to the size of the original figure.