Unit 6 Checkpoint DRB

Front

What is the definition of similarity in geometry?

Back

If there is a sequence of rigid transformations and dilations taking one figure to another, then they are similar.

Front

What are rigid transformations?

Back

Rigid transformations include translations, rotations, and reflections that do not change the size or shape of a figure.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, defined by a center and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the relationship between angles and similarity?

Back

If two figures have the same angles, then they are similar.

Front

What is the effect of a translation on a figure?

Back

A translation moves a figure from one location to another without changing its shape or size.

Front

What is the effect of a rotation on a figure?

Back

A rotation turns a figure around a fixed point, maintaining its shape and size.

Front

Back

The length of segment A'B' is 8 units.

Front

What is the formula for finding the length of a side after dilation?

Back

Length after dilation = Original length × Scale factor.