Selection C is appropriate.
_____
C = (2A+B)/3 = (2(-3, 6) +(6, -3))/3 = (0, 3).
D is the same thing, but with the coordinates swapped, hence (3, 0).
The answer is 60.
The formula for finding the area of a trapezoid or trapezium (UK) is
![A= \frac{1}{2} (base1+base2)(height)](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28base1%2Bbase2%29%28height%29)
Base1 and base2 can be either 8 or 12 and the height is 6.
![A= \frac{1}{2} (8+12)(6)](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20%288%2B12%29%286%29)
Then Solve for parenthesis first.
![A= \frac{1}{2} (20)(6)](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2820%29%286%29)
Then multiply to get the answer.
![A= (10)(6) ](https://tex.z-dn.net/?f=A%3D%20%2810%29%286%29%0A)
Answer:
<span>∠C ≅ ∠F
</span>
The first statement is incorrect, as none of the sides are congruent.
The second statement is incorrect, because angle A is congruent to angle D, not similar.
The third statement is incorrect, because AC corresponds to DF, not DE.
Slope (m) = change in Y over change in X
change in Y = 9-5 = 4
change in x = 8-4 = 4
slope = 4/4 = 1
m = 1
the y intercept (b) would be found by using the formula y = mx+b
find b by replacing y, m and x in the equation with one of the points and the calculated slope:
(4,5) x = 4, y = 5 and slope m = 1
5 = 1*4 +b
5 = 4+b
b = 5-4
b=1
so the equation of the line would be y = x +1
the answer is A