Mathematics, 19.10.2021 01:10 ally6977
6. Complete the coordinate proof.
Given: A(0,6), B(6,6), C(6,0), D(0,0); ZDAB, ZABC, ZBCD, ZCDA are right angles.
Prove: ABCD is a square.
A square on a coordinate plane
Proof:
AB = V(22 β 21)2 + (y2 β yΔ±) so AB =
.
BC
V (x2 β 21)2 + (92 β yΔ±) so BC =
-
.
CD= V(22 β 21) + (92 β yn) so CD=
=
β’ DA = V(x2 β 21) + (y2 β yΔ±)? so DA=
.
=
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6. Complete the coordinate proof.
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