Ay - b = c solve for y
2 answers:
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Step-by-step explanation:
In trapezoid ABCD, it is given that:
AE = BE & DF = CF
Hence, points E and F are the mid points of the sides AB and CD respectively.
We know that:
In a trapezoid length of the line segment joining the mid points of non parallel sides is equal to one half of the sum of lengths of the parallel sides.
We'll use rise over run to find the slopes of two of the sides of the triangle:
Because C is the rightmost point, we'll have it represent (x1,y1), and have A and B represent (x2,y2):
A to C
(-2,3) to (2,-1)
The slope of the line from A to C is -1.
B to C
(-3,-6) to (2,-1)
The slope of the line from B to C is 1.
These lines intersect at (2,-1), and they have negative reciprocal slopes of each other, which creates a perpendicular angle. This means that triangle ABC is a right triangle, and angle ACB is the right angle.
Because C is the rightmost point, we'll have it represent (x1,y1), and have A and B represent (x2,y2):
A to C
(-2,3) to (2,-1)
The slope of the line from A to C is -1.
B to C
(-3,-6) to (2,-1)
The slope of the line from B to C is 1.
These lines intersect at (2,-1), and they have negative reciprocal slopes of each other, which creates a perpendicular angle. This means that triangle ABC is a right triangle, and angle ACB is the right angle.