+4 The coordinates of the endpoints of line segments are given in the options below. Which line segments are parallel? A(1, 6), B(4, −3) and C(6, 4), D(9, −1) E(1, −2), F(−4, 3) and G(−2, 3), H(−7, 6) R(−2, −3), S(2, 0) and T(1, 4), U(5, 7) W(−4, 4), X(3, 7) and Y(−3, 1), Z(5, 4)
+33653 I think this might be better written as:
The coordinates of the endpoints of line segments are given in the options below.
1. A(1, 6), B(4, −3) and C(6, 4), D(9, −1)
2. E(1, −2), F(−4, 3) and G(−2, 3), H(−7, 6)
3. R(−2, −3), S(2, 0) and T(1, 4), U(5, 7)
4. W(−4, 4), X(3, 7) and Y(−3, 1), Z(5, 4)
Which line segments are parallel?
For two line segments to be parallel they must have the same slope.
1. AB has slope (-3 - 6)/(4 - 1) = -3
CD has slope (-1 - 4)/(9 - 6) = -5/3
These are not the same so AB and CD are not parallel.
I'll leave you to use the same method for the other segments.
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