Illustrative Math Grade 8 Unit 2 Test Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original by enlarging or reducing it, using a scale factor.

Front

True or False: A dilation always produces a congruent figure.

Back

False. A dilation produces a similar figure, which may be larger or smaller, but not congruent.

Front

What effect does a scale factor greater than 1 have on a figure?

Back

It enlarges the figure.

Front

What does a scale factor less than 1 do to a figure?

Back

It reduces the figure.

Front

Define similar figures in geometry.

Back

Similar figures are figures that have the same shape but may differ in size; their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

How can you determine if two figures are similar?

Back

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

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

Front

What is an example of a scale factor that represents an enlargement?

Back

A scale factor greater than 1, such as k = 3/2, represents an enlargement.

Front

What is an example of a scale factor that represents a reduction?

Back

A scale factor less than 1, such as k = 1/2, represents a reduction.