Depends on whether or not you have drunk coffee recently.
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Make a triangle, each of whose sides is 2 matchsticks long. This uses six matchsticks. Join the middle points of the sides of this triangle to one another - using another three match sticks. You will then have four small triangles and one large one.
Similar shapes need to have the same number of sides, the same angles and the ratio of the sides needs to be the same. Rectangles are not always similar to each other because they can have different dimensions, which would break the "same ratio" rule.
Only if 2 sides are parallel with each other, and the other two sides are also parallel with each other. All squares are rectangles. All rectangles are parallelograms. All parallelograms are 4 sided. But not all 4-sided are parallelograms, not all parallelograms are rectangles, and not all rectangles are squares.
Three. There are three rectangles that are joined along their parallel edges which forms a triangle at each end.
16 - four in each !