I need help with a couple of questions! Will fan and medal!

Verify that parallelogram abcd with vertices a(-5 -1) b(-9,6), c(-1,5) and d(3,-2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals

Question

I need help with a couple of questions! Will fan and medal!

Verify that parallelogram abcd with vertices a(-5 -1) b(-9,6), c(-1,5) and d(3,-2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals

kris2015 · Answer

Well, to find out what type of quadrilateral it is, you need to find the distance formula for all the sides. 
To find out if it is perpendicular, you need to calculate the slopes of the diagonals. If they are opposite reciprocals and their product is -1, then it is perpendicular.