IM Geo.3.1 Lesson: Scale Drawings

Diego took a picture of a hippo and then edited it.

Which is the distorted image? How can you tell?

Is there anything about the pictures you could measure to test whether there’s been a distortion?

A dilation with center

and positive scale factor

takes a point

along the ray

to another point whose distance is

times farther away from

than

is. If

is less than 1 then the new point is really closer to

, not farther away. Dilate

using

as the center and a scale factor of 3.

is 40 mm from

Dilate

using

as the center and a scale factor of

is 40 mm from

Dilate the figure using center

and scale factor

What do you notice? What do you wonder?

Dilate segment

using center

by scale factor

. Label the result

Dilate the segment

using center

by scale factor

How does the length of compare to ?

How would the length of change if was infinitely far away? Explain or show your answer.