Question

Question 1: 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 2 and 3 are down below.

Please show all work. Thank you.

Answer 1

The first one can be proven by graphing the parallelogram and the diagonals.

The measure of angle 2 is 160 because it is a vertical angle to angle 1. The measure of angle 3 is 10 because the two other angles must each be 10 in order for the sum of all three angles to equal 180 for the triangles.

I have no idea for the third one however.

Hope this helps!