Dilatations Worksheet

Name: ______

Dilatations Worksheet

Instructions: 1) Dilate each figure by the given dilatation factor . (To do this multiply each coordinate by . Draw the new points and connect any lines.)

2)  For each point and its dilated image, draw a line through them. What do you notice about where these lines meet?

3)  Measure the original perimeter and the perimeter of the image. Find the ratios of the perimeters.

4)  For closed shapes do the same for the areas of the original and its image. (Hint: Use the grid to break shapes into triangles you can find the area of.)

1. Dilation factor (Steps 1&2 completed) 2. Dilation factor

3. Dilation factor 4. Dilation factor

5. Dilation factor 6. Dilation factor

Perimeter- Original: ______Image: ______Perimeter- Original: ______Image: ______

Area- Original: ______Image: ______Area- Original: ______Image: ______

7. Dilation factor 8. Dilation Factor

Perimeter- Original: ______Image: ______Perimeter- Original: ______Image: ______

Area- Original: ______Image: ______Area- Original: ______Image: ______