6.1-6.4 similarity through transformation

Front

What is similarity in geometry?

Back

Similarity in geometry refers to two shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It involves a center point and a scale factor that determines how much the figure is enlarged or reduced.

Front

What does a scale factor of 2 mean in dilation?

Back

A scale factor of 2 means that each dimension of the original figure is multiplied by 2, resulting in a figure that is twice as large in every direction.

Front

What does a scale factor of 1/2 mean in dilation?

Back

A scale factor of 1/2 means that each dimension of the original figure is multiplied by 1/2, resulting in a figure that is half the size of the original in every direction.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

If two triangles are similar, the lengths of their corresponding sides are in proportion.

Front

What is the relationship between congruent shapes and similar shapes?

Back

Congruent shapes are similar shapes that are the same size. All congruent shapes are similar, but not all similar shapes are congruent.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the missing length in similar figures?

Back

The formula for finding the missing length in similar figures is: (length in figure 1) / (length in figure 2) = (corresponding length in figure 1) / (missing length).

Front

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

Back

A dilation with a scale factor less than 1 reduces the size of the figure, making it smaller.