Unit 1 Similar Figures and Dilations Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same. It is defined by a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you determine if two figures are similar?

Back

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

Front

What is the formula for finding the scale factor of a dilation?

Back

Front

If point B (4, 6) is dilated by a scale factor of 2, what are the coordinates of the image?

Back

The coordinates of the image are (8, 12).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1/2?

Back

The coordinates of the point are multiplied by 1/2, reducing the distance from the origin.

Front

If the point (10, 15) is dilated to (5, 7.5), what is the scale factor?

Back

The scale factor is 1/2.

Front

Are the figures with sides 3, 4, 5 and 6, 8, 10 similar? Why or why not?

Back

Yes, they are similar because their corresponding sides are proportional (3:6 = 4:8 = 5:10).

Front

What is the effect of a dilation with a scale factor of 1 on a figure?

Back

A dilation with a scale factor of 1 leaves the figure unchanged.

Front

If a triangle has sides of lengths 2, 3, and 4, and is dilated by a scale factor of 3, what are the lengths of the sides of the new triangle?

Back

The new triangle will have sides of lengths 6, 9, and 12.