Exploring Similarity
We will explore the following conjectures:
Conjecture 1: All rectangles are similar.
Conjecture 2: All equilateral triangles are similar.
Conjecture 3: All isosceles triangles are similar.
Conjecture 4: All rhombuses are similar.
Conjecture 5: All squares are similar.
Conjecture 1: All rectangles are similar.
Using the above grid and the rectangle, explore the conjecture that 'All rectangles are similar'. 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'. 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'. 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'. 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'. Do you agree or disagree? Why?