Question

how to cut this rectangle into two equal pieces

Answer 1

Knife

Answer 2

nah using only compass and straightedge...

Answer 3

proof ?

Answer 4

il think a bit, wait :)

Answer 5

Cut down middle

Answer 6

with a knife?

Answer 7

Save yourself a headache and none of this angle stuff

Answer 8

Start thinking with portals

Answer 9

any line passing through the center cuts it into two equal pieces is it ?

Answer 10

can you all help me

Answer 11

Yeah I think so @ganeshie8 since if you rotate the entire picture around by that point by 180 degrees the picture remains unchanged so the left and right must be equal

Answer 12

I don't know if that counts as a proof or not, but it's rigorous enough for me

Answer 13

that is very interesting... never thought of this before !

Answer 14

for example, if i want to cut two rectangles into equal pieces using a single stroke i could just cut through the line connecting both the centers :