Yes they do.
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Uh oh. No, they don't.
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No
No.
No but they cross at right angles in a square
Oh, dude, a trapezium can have two perpendicular diagonals. Yeah, it's like those lines that meet at right angles and stuff. So, if you're ever in a trapezium and need to find some right angles, just look for those diagonals. Easy peasy.
No, not normally