Mathematics, 23.02.2021 05:10 ajacobsen

Hexagonal fountain: centered at (0, 0), two sides of length 2 unitsShort rectangular benches: centered at (0, 10) and (0, −10), length 4 unitsLong rectangular benches: centered at (10, 0) and (−10, 0), length 8 unitsTriangular statue T: vertices at (5, 10), (7, 10), (7, 7)Flagpoles (shown as dots): at (−2, 10) and (2, −10), next to short benches 1. Why could a single translation map one of the long rectangular benches onto the other long rectangular bench, but not map one short rectangular bench and flagpole onto the other short rectangular bench and flagpole?

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Hexagonal fountain: centered at (0, 0), two sides of length 2 unitsShort rectangular benches: center...