In quadrilateral abcd, diagonals ac and bd bisect one another:

quadrilateral abcd is shown with diagonals ac and bd intersecting at point p.

what statement is used to prove that quadrilateral abcd is a parallelogram? (5 points)

angles bad and adc are congruent.

corresponding angles bcd and cda are supplementary.

sides cd and da are congruent.

triangles bpa and dpc are congruent.

  Triangles BPA and DPC are congruent.

Step-by-step explanation:

The statement above is the only one of the bunch that is true, so is the best selection.

You don't even need to worry too much about how you might make the proof. You just need to be concerned with which are plausible answers. There's only one.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2