Please justify the answer with explanation?
Detail of question with options is in the picture.
- sepiaLv 75 months agoFavorite Answer
RectangleABCD has vertices A(4, 5), B(0, 2), and C(6, -6).
What are the coordinates of vertex D?
Justify the answer with an explanation.
The answer is E. (2, - 9)
x and y coordinates of A and B differ by 4 and 3 respectively.
Subtracting these from the x and y coordinates of C
gives the coordinate of point D.
- PhilipLv 65 months ago
Consider ln L through C(6,-6) // to BA. Slope BA = (5-2)/(4-0) =(3/4). Suppose D(x,y)
is the 4th vertice. We would then require slope DC = slope BA = (3/4) = (-6-y)/(6-x).
Then -6-y = 3 & 6-x = 4, ie., x = 2 & y = -9. Then D = (2,-9). For D' = (10,-3) we can also demonstrate that D' is a legitimate location for the 4th vertice. Instead of going
from C 4 to the left & down 3 getting to D(2,-9), we can go 4 to the right & up 3
getting to D'(10,-3). Comparing slopes involving D with slopes involving D' we can
prove that rectangles ABCD and ABCD' are both legitimate rectangles.
- RealProLv 75 months ago
You know how a rectangle looks. From B to A is 4 right and 3 up so from C to D will be 4 right and 3 up.