Overlapping again

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



You may want to look at Overlaps before you try this problem.

Here are some pairs of shapes:

Image
Overlapping Again


What overlap shape would you get if you overlapped them halfway across each other?

Here are some more pairs of shapes. What overlap shapes would you get this time?

Image
Overlapping Again


Which of these overlap shapes did you find?

Image
Overlapping Again