Math Reflections Investigation Four

1) What has to be the same in order for two parallelograms to be similar?
2) Describe a way to find a missing side length in a pair of similar figures.
3) I have a small isosceles triangle with a base of 3 inches and other sides are 4 inches.I want to create a similar isosceles triangle with a base of 7.5 inches.What should the other side lengths be and why?

1) In order for two parallelogams to be similar all of the angles have to be the same and the scale factor has to be the same.

2) To find a missing side length in a pair of similar figures you have to, find the scale factor from the triangle with all of the side lengths to the triangle with te missing side length. Then you have to multiply the scale factor by the corresponding side length of the side with the missing length by the side with the missing length.

3)The other side lengths should each be 10 inches long. I know this because, the scale factor from the small triangle to the big triangle is 2.5. 4 multiplied by 2.5 is 10.