Decide whether ABCD with vertices A (6,-2), B(-3,5), C(0,2), and D(-3,-1) is a rectangle, a rhombus, or a square. What are all names tha tapply?

Answer 1

plot the points, they are not corners of a square or rectangle or rhombus.

rhombus means sides equal, and opposite angles equal.

If you can't see it from the graph then

use distance formula

d^2 =9+9 = 18 for top side (-3,5) to (0,2)

=36 for left side *(-3,5) to (-3,-1)

=9+81 = 90 for bottom side (-3,1) to (6,-2)

= 36+16 = 52 for right side (0,2) to (6,-2)

take square roots and all sides are different lengths.

3sqr2, 6, 3sqr10 and 2sqr13.

angles are all different too. but no need to check.

Not a square, not a rectangle, not a rhombus