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Geometry

5. Polyiamonds

Investigate A Shape Made with Two Equilateral Triangles A Shape Made with Four Equilateral Triangles

Type Study Number of different shapes that can be made by
connecting three equilateral triangles: 1

Number of different shapes that can be made by
connecting four equilateral triangles: 3

Making Pentiamonds
1 Rotate the equilateral triangle and connect it to the sides of the shapes.

2 There are four different shapes that can be made without including the overlapping
shapes.

13Answer Key
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