Question

If polygon ABCD is a rhombus and the slope of AD is( 5)/(6), what MUST the slope of BC be?

a. -(5)/(6)
b. (6)/(5)
c. -(6)/(5)
d. (5)/(6)

Answer 1

The slope of line BC in a rhombus with a slope of (5/6) for line AD must be -(5/6) since opposite sides in a rhombus are parallel and thus have slopes of equal magnitude but opposite direction.

Step-by-step explanation:

If polygon ABCD is a rhombus and the slope of line AD is (5/6), then the slope of line BC must be -(5/6).

Because a rhombus has opposite sides that are parallel, and because AD and BC are opposite sides, we know that their slopes must be equal in magnitude but opposite in direction.

Therefore, if the slope of AD is positive (5/6), the slope of BC must be negative (-(5/6)).

So, the correct answer must be option a. -(5/6).