BPW Inv 4.1A - Focus on Dilations
Part A
- It may be helpful to review the Geogebra Dilations tool
- If you have been assign a book, open Butterflies, Pinwheels and Wallpaper book to Inv. 4.1 on page 77
- Use Geogebra to create the dilation instructed in Part A at the top of page 77
- Use the
to find the area tool 
, angle tool , and length tool 
to measure each area, all lengths and all angles of the given red polygon. - Then use the polygon tool
and connect each point in order P-S-Q-R-P, this will highlight your shape. - Use the dilation tool
(found under the transformations tab
) to dilate your polygon. Click the center of your polygon, then the origin (0,0) and use scale factor of 3. - Use the
to find the area tool 
, angle tool , and length tool 
to measure each area, all lengths and all angles of the polygon. - Screenshot the completed dilation with all measured parts into your Google Doc.
Copy, paste and answer the questions below into your Google Doc.
- How do the side lengths of quadrilateral P′Q′R′S′ compare to those of quadrilateral PQRS?
- How do the angle measures of quadrilateral P′Q′R′S′ compare to those of quadrilateral PQRS?
- How does the perimeter of quadrilateral P′Q′R′S′ compare to that of quadrilateral PQRS?
- How does the area of quadrilateral P′Q′R′S′ compare to that of quadrilateral PQRS?
- How do the slopes of the sides of quadrilateral P′Q′R′S′ compare to the slopes of the sides of quadrilateral PQRS?
- What rule of the form (x, y) → (
, ) shows how coordinates of corresponding points are related under a dilation with center (0, 0) and scale factor 3?