hi peoples of math help forum! -waves-
i hope this belongs in the geometry board, as my teacher said there are multiple ways to solve it. this is the question that has be stumped:
Points D and E are the endpoints of one of the sides of a square. If the coordinates of the midpoint of DE are (4.5, 16) and the coordinates of D are (2, 16), what are the coordinates of the vertices of the square.
Find x. y remains the same.
So DE is a horizontal line. Find the length L of DE. If F and G are the other two vertices, then the co-ordinates of F will be, (x + or - L, 16 + or - L). Similarly you can find the co-ordinates of G.
I don't like how the question is worded. I can interrupt it to mean that the segment DE is an exterior edge or DE is just a line segment where D is on the left and E is the right.
I attached a photo of how I think the question could be interrupted. Where the floating DE line can be anywhere on the square.
Did you make a sketch?
Points and are the endpoints of one of the sides of a square.
If the coordinates of the midpoint of are (4.5, 16) and the coordinates of are (2, 16),
what are the coordinates of the vertices of the square?Code:| | D M E | * - - - - * - - - - * | (2,16) (4½,16) (7,16) | | | | - - + - - - - - - - - - - - - - - - - |
Since the midpoint is units to the right of
. . must be units to the right of
Hence, is at
. . The side of the square is:
The other two vertices are either: