Using the given triangle lattice, if possible, sketch the following shapes. If not possible, explain why.









(a) Sketch four non-congruent non-right parallelograms with AB as one side.

(b) Sketch all of the squares with AB as one side.

(c) Sketch all of the non-square rectangles with AB as one side.

(d) Sketch an isosceles trapezoid with AB as one side.


(a) There are many, here are some examples





(b) There is only one such square





(c) This is not possible, the only way to connect lines, on the grid, forming right angles at A and B, is to form a square.





(d) There is only one possible isosceles trapezoid that fits on this triangular grid

Mathematics

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Perform the operation or operations when possible. - 

A.

B.

C.

D.

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A. Par-3: 5; par-4: 5; par-5: 8 B. Par-3: 5; par-4: 6; par-5: 7 C. Par-3: 6; par-4: 5; par-5: 7 D. The numbers cannot be determined from the given information.

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Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.2 - r = -10 + 3(2 + 3r)

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