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The vertices of pentagon LMPQR are at L(4, -2), M(5, -2), P(8, -5), Q(6, -7), R(2, -4). The coordinates of the pentagon after two translations are L'(-5, -1), M'(-4, -1), P'(-1, -4), Q'(-3, -6), R'(-7, -3). How was LMPQR translated to create L'M'P'Q'R'? To the left by 9 units and 1 unit up To the left by 1 unit and 9 units up To the right by 9 units and 1 unit up To the right by 1 unit and 9 units up

Mathematics
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There's a lot going on, but we can simplify things by looking at one pair of letters. So we can focus on L and L'
Notice how L(4, -2) goes to L'(-5, -1) How many units to the left do we go to go from L to L' ?
9,1?

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Other answers:

you go 9 units to the left go from 4 to -5, good, then you go 1 unit up
so you got both
;)
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