In square ABCD, AC and BD are the diagonals of the square. What is the product of the slopes of the two diagonals AC and BD?

Question

The answer choices are -2 or -1 or -1/2 or 1 or 1/2.

Answer 1

the slope is the rise/run

in a square the rise equals the run

therefore one diagonal has a slope of 1

the other diagonal is perpendicular to the first diagonal

therefore it has a slope that is the negative reciprocal of the slope of the first diagonal, that is, the slope equals -1

so, one diagonal has a slope of 1 and the other diagonal has a slope of -1

(1)*(-1)=-1 is the answer

Answer 2

The slope of one diagonal is +1 and the other is -1; therefore, the product of the slopes is -1.