Answer:
- 2 -2.5 and neither. For the left Panel
A or 40.5 for the right panel
Step-by-step explanation:
Slope AB
Givens
(3,5) (2,7)
Formula
m = (y2 - y1)/(x2 - x1)
Solution
- m = (7 - 5)/(2 - 3)
- m = 2/-1
- m= -2
Slope CD
Givens
(10,5) (6,15)
- y2 = 15
- y1 = 5
- x2 = 6
- x1 = 10
Formula
m = (y2 - y1)/(x2 - x1)
Solution
- m = (15 - 5)/(6 - 10)
- m = 10/-4
- m= - 2.5
What are they?
- They are not parallel. m1 must equal m2 exactly. - 2 does not equal - 2.5
- They are not perpendicular m1 * m2 must = -1
- -2 * -2.5= 5 They so not = -1 when multiplied together.
Answer: Neither.
Right Panel
The best way to start this is to plot the triangle. I use Desmos for this. See diagram below
The base is between (-6,8) and (3,8)
The 8s are the same for both points. The distance between -6 and 3 is abs(-6) + abs(3) = 9
That is the base of the triangle.
The height is between (-6,17) and (-6,8)
17 - 8 = 9
Notice I did not have to use the absolute values. Why not?
- Area = 1/2 * 9 * 9
- Area = 40.5 Answer
