Unit 6 Checkpoint

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but maintains its shape. It is defined by a center point and a scale factor.

Front

Define similarity in geometric figures.

Back

Two figures are similar if there is a sequence of rigid transformations and dilations that can take one figure to another.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If x varies inversely with y, what is the relationship between x and y?

Back

If x varies inversely with y, then as y increases, x decreases, and vice versa. This can be expressed as xy = k, where k is a constant.

Front

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

Back

The length of a side after dilation can be found using the formula: new length = original length × scale factor.

Front

What does it mean for two figures to have proportional side lengths?

Back

Two figures have proportional side lengths if the ratios of their corresponding side lengths are equal.

Front

How do you determine if two triangles are similar?

Back

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

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor less than 1 in dilation?

Back

A scale factor less than 1 reduces the size of the figure.