Dilations Through the Origin

The red triangle has been dilated by a scale factor of 1/4 centered at the origin, which triangle represents the image? 

• green triangle 

• red triangle 

• black triangle

• none of these 

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation applied to Figure S to create Figure T?

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TEKS 8.3C

Given the graph on the left, answer the following questions:

A) Does the graph show a dilation?

B) If so, give the center of dilation and k.

If not, explain why not.

A non-rigid transformation that moves a point along a line by changing the distance from a fixed point is called a:

What do we call a figure BEFORE a transformation is performed?

This tells us how much farther away from, or closer to the center of dilation points will move:

Which one will correctly find scale factor?

• Scale factor = Length of the image / Length of the preimage

• Scale factor = Length of the preimage / Length of the image

When dilating, what mathematical operation is always used with the scale factor?

• addition 

• subtraction 

• multiplication 

• division 

This is a fixed point that is the starting point for all dilations:

• scale factor

• dilation

• center of dilation

• pre-image

If the rectangle on the left is mapped onto the rectangle on the right, what is the scale factor?

• 1

• 2

• 1/2

• -2