Dilate Figures in the Coordinate Plane

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

• reduction

• enlargement

• scale factor

• center of dilation

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

In a dilation what mathematical operation is used with the scale factor?

• addition 

• subtraction 

• multiplication 

• division 

The center of dilation is important because

• it's the location from which the dilation occurs.

• All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

• it's a fixed point on the plane about which all points are expanded or contracted.

• All of the above

Enlargement or reduction?  Find the scale factor!

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

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

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

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

• (-6, 1)

• (-3, -2)

• (1, -6)

• (-2, -3)

Dilations produce ___________ figures.

• congruent

• same

• different

• similar

A trapezoid on a coordinate grid is dilated to create a larger trapezoid. Which rule could represent this dilation?