Test - Dilations and Similar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a center of dilation and a scale factor.

Front

What is a scale factor in dilations?

Back

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

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is between 0 and 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What are similar figures?

Back

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

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the algebraic representation of a dilation with a scale factor of 2?

Back

The algebraic representation is (x, y) -> (2x, 2y).

Front

What is the result of dilating the point (3, 4) by a scale factor of 3?

Back

The result is (9, 12).

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

How do you find the coordinates of a dilated figure?

Back

Multiply the original coordinates by the scale factor.