#4.6 Similarity and Transformations

Front

What is a similarity transformation?

Back

A similarity transformation is a geometric transformation that alters the size of a figure but maintains its shape. This includes transformations such as dilation, reflection, rotation, and translation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a center point and a scale factor.

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. This means their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle.

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure from one location to another without changing its shape, size, or orientation, while a reflection flips the figure over a line, creating a mirror image.

Front

What is the effect of a 180° rotation on a figure?

Back

A 180° rotation turns a figure upside down, effectively reversing its orientation while keeping its shape and size unchanged.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, the lengths of corresponding sides are proportional.