https://app.letsrecap.com/public/r/dfd9134c6c0c73fc19389b89bf066128
Boehm
Mathematical Similarity
Any two rectangles similar
False they are not all similar because they may all have congruent angle but they are not similar for example a rectangle 2 by 4 and 4 by 8 are but 9 by 3 is not similar.
The Scale factor for 9 by 3 and 2 by 4 is 2.25 but that does not match with 1.5
9/4=2.25 3/2=1.5
The Scale factor for 4 by 8 and 2 by 4 are both 2
4/2=2 8/4 = 2
Another thing is they most have the same general shape
all rectangles are not the same general shape
Any two equilateral triangle are similar
True because they fit all the rules the corresponding angles are congruent because equilateral triangle must have a 60 degree angles
all the scale factors are the same they can change to because the equilateral triangles can change to be the same