Properties of Dilations

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

A dilation is given by the transformation (x, y)→ (2/3x, 2/3y). Will this produce an enlargement or reduction?

• Enlargement

• Reduction

A dilation is given by the transformation (x, y)→ (3/2x, 3/2y). Will this produce an enlargement or reduction?

• Enlargement

• Reduction

A dilation is given by the transformation (x, y)→ (.5x, .5y). Will this produce an enlargement or reduction?

• Enlargement

• Reduction

In a DILATION, everything about the two shapes/images is congruent (same) except...

• size

• angles

• the type of shape

Which of the following are true about dilations? Select all that apply.

• Dilations have the same shape as the original.

• Dilations can be enlargements of the original image.

• Dilations can be reductions of the original image.

• Dilations are always congruent.

Polygon ABCDE will be dilated by a scale factor of 2.  Which statement is NOT true of the dilation?

• The corresponding angles of the two polygons will be equal.

• The dilation will be an enlargement.

• The original and the image will be congruent.

• Polygon A'B'C'D'E' will be proportional to polygon ABCDE. 

A dilation preserves which of the following characteristics?

• Congruence

• Similarity

• Both

• None of these

Choose all statements that are true about dilations.

• Dilations cause angle measures to change.

• Dilations change the size of a shape by making it bigger or smaller.

• When you dilate by a scale factor bigger than 1, the shape increases in size.

• When you dilate by a scale factor less than 1, the shape increases in size.

• Dilations only increase the size of a shape.

Which statement is FALSE about dilations?

• Dilations preserve size.

• Dilations preserve shape.

• Dilations preserve orientation.

• Dilations can make smaller or larger images.