Geometry: Congruent and Similar Figures

Front

What are congruent figures?

Back

Figures that have the same shape and size.

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

Define dilation in geometry.

Back

A transformation that alters the size of a figure but keeps its shape.

Front

What is the scale factor in a dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the preimage.

Front

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

Back

The figure's size doubles.

Front

What is the image of a point (x, y) under a dilation with scale factor k?

Back

(kx, ky) where k is the scale factor.

Front

How do you determine if two triangles are similar?

Back

By checking if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the sides of similar figures?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is a transformation in geometry?

Back

An operation that moves or changes a figure in some way to produce a new figure.

Front

What is the preimage in a transformation?

Back

The original figure before any transformation is applied.