Question

let ABCD be a rhombus. Prove that the diagonals AC and BD are perpendicular on each other. You may use the Theorem on Parallelograms without proving it

Answer 1

To prove that a line is perpendicular, the two slopes should be opposite reciprocals. What is the rest of the given information?

Answer 2

i.e. The slopes are -1/2 an 2, therefore they are perpendicular. Because 2/1 = 2 which is OPPOSITE and a RECIPROCAL. As in it is negative if it is positive (or vice versa) and it is reversed (i.e. 1/3 and 3/1 are reverse reciprocals).

Answer 3

This is just an example though.

Answer 4

if you do not know the slopes then find them with eh slope formula and determine if they are perpendicular using the example I just gave.

\[Slope Formula = \frac{ y _2 - y _1 }{ x _2 - x _1 }\]

Answer 5

the*

Answer 6

There are no numbers for this because this is just a proof...that's all the info given