Friday, 13 February 2015

Exploring Similarity

1. Draw a pentagon (or any 2D shape) labeled ABCDE.
2. Place a point P anywhere on the sheet.
3. Draw Lines from P through each vertex.
4. Place Point A' twice as far from point P as A is from P. Repeat for all the points.
5. What do you notice?


Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

"Proportional" means that there is a multiplicative relationship between the sides - that is to say that multiplying one side by x always leads you to the length of the corresponding side. In this case x = 2. Notice that AB = 2.5cm and A'B'  = 5cm.




It doesn't matter where you placed the point P. Maryam placed it somewhere inside the triangle.


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