9-1 and 9-2: Dilations and Ratios Review

Front

What is the ratio of oranges to fruit if there are 2 oranges and 6 fruits in total?

Back

2:6

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If a point (x, y) is dilated to (3x, 3y), what type of transformation is this?

Back

This is a dilation with a scale factor of 3.

Front

What are the angle measures of a triangle with an extended ratio of 2:4:9?

Back

The angle measures are 24°, 48°, and 108°.

Front

How do you find the scale factor when a point (8, 12) is dilated to (2, 3)?

Back

The scale factor is found by dividing the coordinates of the dilated point by the original point: (2/8) = (1/4) or ¼.

Front

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

Back

False. A dilation produces a similar figure, not necessarily congruent.

Front

What is the relationship between similar figures and dilations?

Back

Similar figures have the same shape but may differ in size, which is a result of dilations.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

If a triangle is dilated by a scale factor of 2, how do the lengths of its sides change?

Back

The lengths of the sides will double.