Identify Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is 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 does dilation mean in geometry?

Back

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

Front

How does a translation affect the coordinates of a point?

Back

In a translation, the coordinates of a point (x, y) change to (x + a, y + b), where a and b are the distances moved in the x and y directions.

Front

What happens to a shape during a reflection?

Back

During a reflection, the shape is flipped over a line, and the coordinates of points change according to the line of reflection.

Front

Describe the effect of a rotation on a shape.

Back

A rotation changes the position of a shape by turning it around a center point by a specified angle, affecting the coordinates of the points.

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is the ratio of the size of the new shape to the size of the original shape.