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 – 21)2 + (y2 – yı) so AB =
.
BC
V (x2 – 21)2 + (92 – yı) so BC =
-
.
CD= V(22 – 21) + (92 – yn) so CD=
=
• DA = V(x2 – 21) + (y2 – yı)? so DA=
.
=