Mathematics, 05.06.2020 07:02 ruleolivas
If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle? Select all that apply.
A. Use the slope formula to show that AB¯¯¯¯¯¯∥CD¯¯¯¯¯¯, BC¯¯¯¯¯¯∥AD¯¯¯¯¯¯, AC¯¯¯¯¯¯⊥BD¯¯¯¯¯¯.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC¯¯¯¯¯¯ and the midpoint of BD¯¯¯¯¯¯ are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB¯¯¯¯¯¯∥CD¯¯¯¯¯¯ and AB¯¯¯¯¯¯⊥BC¯¯¯¯¯¯.
E. Use the slope formula to show that AB¯¯¯¯¯¯∥CD¯¯¯¯¯¯, and use the distance formula to show that AB = CD and AC = BD.
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