Here is a picture of an older version of the flag of Great Britain. There is a rigid transformation that takes Triangle 1 to Triangle 2, another that takes Triangle 1 to Triangle 3, and another that takes Triangle 1 to Triangle 4. An image of an older version of the flag of Great Britain.
Measure the lengths of the sides in Triangles 1 and 2. What do you notice?
What are the side lengths of Triangle 3? Explain how you know.
Do all eight triangles in the flag have the same area? Explain how you know.