Parallelogram abcd has vertices at a(0,0), b(4,5), c(8,0), d(-4,-5) which conclusion can be made?

AB=BC therefore ABCD is a Rhombus

Step-by-step explanation:

we have

Using a graphing tool

see the attached figure

AB=BC

The figure is a flat shape with 4 equal straight sides. All sides have equal length. Opposite sides are parallel, and opposite angles are equal

therefore

The figure is a Rhombus

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.