Unit 2 Review - Readiness Assessment -Similarity & Dilations

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape the same. It is defined by a scale factor.

Front

What happens to a figure when it is dilated by a scale factor of a fraction less than 1?

Back

The figure becomes smaller.

Front

What happens to a figure when it is dilated by a scale factor greater than 1?

Back

The figure becomes larger.

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.

Front

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

Back

Each dimension of the figure is multiplied by 2, making the figure twice as large.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 1/2, making the figure half as large.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) of a line is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Write the equation for the slope of the line passing through points (3, 4) and (4, 7).

Back

The slope is m = (7 - 4) / (4 - 3) = 3.