IM 8.2.3 Lesson: Dilations with No Grid
Drag the point C to the place on the ray whose distance from A is twice the distance from B to A.
Drag the point D to the place on the ray whose distance from A is half the distance from B to A.
Use this app to answer the questions below.
Dilate using a scale factor of 5 and as the center of dilation. Which point is its image?
Using as the center of dilation, dilate so that its image is . What scale factor did you use?
Using as the center of dilation, dilate so that its image is . What scale factor did you use?
To dilate so that its image is , what point on the diagram can you use as a center?
Dilate , using as the center and a scale factor of . Which point is its image?
Describe a dilation that uses a labeled point as its center and that would take to .
Using as the center of dilation, dilate so that its image is itself. What scale factor did you use?
Dilate P using C as the center and a scale factor of 4. Follow the directions to perform the dilations in the applet.
Dilate Q using C as the center and a scale factor of 1/2.
Draw a simple polygon.
Compare your drawing to other people’s drawings. What is the same and what is different? How do the choices you made affect the final drawing? Was your dilated polygon closer to than to the original polygon, or farther away? How is that decided?
Here is line segment DE and its image D'E' under a dilation. Use a ruler to find and draw the center of dilation. Label it F.
What is the scale factor of the dilation?