Flashcard 4.2 Geometry - Transformations - 3rd Period

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.

Front

What are the types of transformations?

Back

The 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, using a scale factor.

Front

How do you determine the scale factor in dilation?

Back

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

Front

What is the effect of a scale factor greater than 1?

Back

A scale factor greater than 1 enlarges the shape.

Front

What is the effect of a scale factor less than 1?

Back

A scale factor less than 1 reduces the size of the shape.

Front

If a point (x, y) is translated 5 units left and 1 unit up, what are the new coordinates?

Back

The new coordinates will be (x-5, y+1).