Dilations

Front

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

Back

True

Front

Does the image show a Dilation?

Back

Yes

Front

Does a dilation always produce a congruent figure?

Back

False

Front

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image for A(3,3) B(6,6) C(9,3)?

Back

A'(9,9) B'(18,18) C'(27,9)

Front

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

Back

scale factor

Front

Enlargement or reduction? Find the scale factor!

Back

It's a reduction; the scale factor is 1/2.

Front

Which algebraic expression could be the rule for a reduction? Options: (x, y)→(2x, 2y), (x, y)→(5/2 x, 5/2 y), (x, y)→(0.5x, 0.5y), (x, y)→(5x, 5y)

Back

(x, y)→(0.5x, 0.5y)

Front

The algebraic expression for an enlargement by a scale factor of 3 is...

Back

(x, y)→(3x, 3y)

Front

Which algebraic representation shows the dilation of trapezoid ABCD to trapezoid A’B’C’D’? Options:

(x, y) --> (2x, 2y)

,

(x, y) --> (0.5x, 0.5y)

,

(2x, 2y) --> (x, y)

,

(x, y) --> (3x, 2y)

Back

(x, y) --> (2x, 2y)

Front

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3