Transformations Congruent and Similar

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same.

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.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 2.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

How do you find the coordinates of a dilated figure?

Back

Multiply each coordinate of the original figure by the scale factor.

Front

What is the rule for a dilation with a scale factor of 3?

Back

(x, y) → (3x, 3y) is the rule for a dilation with a scale factor of 3.

Front

What happens to angles during a dilation?

Back

The angles remain the same during a dilation.