3.2+Building+with+Re-tiles


 * 3.2 Building with Rep-tiles

A rep-tile is a shape whose copies can be put together to make a larger and similar shape.

Problem 3.2

Use the shapes shown on page 30 from your shape set, or cut out copies of the shapes from Labsheet 3.2.

A. Start with four copies of one of the shapes. Try to find a way to put the four copies together-with no overlap and no holes-to make a larger, similar shape. If you are succesful, make a sketch showing how the four shapes (rep-tiles) fit together, and give the scale factor from the original shape to the new shape. Repeat the process with each shape.

Original shape times four.

15 ½ cm x 5 cm

Original shape

7 ½ cm x2 ½ cm Scale Factor: B. For each rep-tile you found in part A. Try to find a different way to arrange the copies to get a smilar shape. Sketch each new arrangment. How does the scale factor for the first arrangment.**