Exploring Similarity

We will explore the following conjectures:[br]Conjecture 1: [i]All rectangles are similar.[/i][br]Conjecture 2: [i]All equilateral triangles are similar.[/i][br]Conjecture 3: [i]All isosceles triangles are similar.[/i][br]Conjecture 4: [i]All rhombuses are similar.[/i][br]Conjecture 5: [i]All squares are similar.[/i]
Conjecture 1: All rectangles are similar.
Using the above grid and the rectangle, explore the conjecture that 'All rectangles are similar'.[br]Do you agree or disagree? Why?
Conjecture 2: All Equilateral Triangles are similar.
Using the above grid and the equilateral triangle, explore the conjecture that 'All equilateral triangles are similar'.[br]Do you agree or disagree? Why?
Conjecture 3: All Isoceles Triangles are similar.
Using the above grid and the isoceles triangle, explore the conjecture that 'All isoceles triangles are similar'.[br]Do you agree or disagree? Why?
Conjecture 4: All Rhombuses are similar.
Using the above grid and the rhombus, explore the conjecture that 'All rhombuses are similar'.[br]Do you agree or disagree? Why?
Conjecture 5: All Squares are similar.
Using the above grid and the square, explore the conjecture that 'All squares are similar'.[br]Do you agree or disagree? Why?
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Information: Exploring Similarity