Dilations and Scale Factor

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 a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure 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 less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Front

What is the relationship between corresponding angles in similar polygons?

Back

The corresponding angles in similar polygons are congruent.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

If a triangle has sides of lengths 3, 4, and 5, and is dilated by a scale factor of 2, what are the lengths of the sides of the new triangle?

Back

The new triangle will have sides of lengths 6, 8, and 10.

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area of the figure is multiplied by k².

Front

If the original length of a side is 5 and the scale factor is 3, what is the new length?

Back

The new length is 15.