Given quadrilateral ABCD, where ∠A≅∠C and ∠B≅∠D. Can you prove can you prove that the figure is a parallelogram? Explain. A. Yes; opposite sides are congruent.
B. Yes; two opposite sides are both parallel and congruent.
C. Yes; opposite angles are congruent.
D. No; you cannot prove that the quadrilateral is a parallelogram.

answer: $13,622.84

step-by-step explanation: check the picture for info and stats : )

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²