review mp2

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape. It is defined by a scale factor and a center of dilation.

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 dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you perform a dilation with a scale factor of 3?

Back

To perform a dilation with a scale factor of 3, multiply the coordinates of each point of the figure by 3.

Front

What is a translation in geometry?

Back

Translation is a transformation that moves every point of a figure the same distance in a given direction.

Front

How do you write the rule for a translation?

Back

The rule for a translation can be written in the form (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

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. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is a proportion in geometry?

Back

A proportion is an equation that states that two ratios are equal. It is often used to compare the lengths of corresponding sides of similar figures.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way, including translations, rotations, reflections, and dilations.

Front

What is the formula for a translation that moves a figure 3 units up and 2 units to the right?

Back

The formula for this translation is (x, y) → (x + 2, y + 3).