Graphing Dilated Images

Graphing Dilated Images

Applying Scale Factor

Driving Question:

• Why do graphic designers, police officers, and architects (you guys!) have to be experts in Geometry?

Success Criteria

• I will be able to graph enlargement dilations and reduction dilations based on a given scale factor.

• For example: Find the new coordinates of (2,-4) if there was a dilation of scale factor = 3.

Time to Explore

Go to the Agenda, and click on the Geogebra link.

Play around for 3 minutes. Be prepared to share some notices and wonderings.

Graphing Enlargements

• Recall: When a scale factor is larger than 1, we get bigger.

• Notice how both the x and y coordinates got bigger by a scale factor of 2.

• Talk with your shoulder partner: What would the value of the blue points be if the scale factor were 3? 4? 10?

Graphing Enlargements

What are the new coordinates of (3,5) if there is a dilation of scale factor = 4.

You try:

What are the new coordinates of (2,8) with a scale factor = 2.

Graphing Enlargements

Determine the coordinates of the image after applying the given scale factor.   Then graph the new image.

A(1,1), B(1,3), C(3,1) with a dilation of sale factor = 2.

Graphing Reductions.

• Recall: When a scale factor is less than 1, we get smaller.

• Notice how both the x and y coordinate got smaller by a scale factor of .5.

• Talk with your shoulder partner: what would the value of the blue points be if the scale factor was .25? .75?

Graphing Reductions

What are the new coordinates of (3,5) if there is a dilation of scale factor = .5

You try:

What are the new coordinates of (2,8) with a scale factor = .5

Graphing Reductions

Determine the coordinates of the image after applying the given scale factor. Then graph the new image.

A(1,1), B(1,3), C(3,1) with a dilation of sale factor = .5