Grayson is designing a rectangular athletic field. On his scale drawing, the vertices of the rectangle are (4,5), (9, 10), and (9, 5). What are the coordinates of the fourth vertex?

Question

753 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-25T17:33:34

#(4,10)#

Given #(4,5), (9, 10), and (9, 5)#

The equation of the line between the points #(4,5) and (9, 5)# is:

#y =5

The equation of the line between the points #(9,5) and (9, 10)# is:

#x = 10#

To be parallel to the first line and go through the point #(9,10)#, the equation of the other horizontal must be:

#y = 10#

To be parallel to the second line and go through the point #(4,5)#, the equation of the other vertical line must be:

#x = 4#

Therefore, the other point must be #(4,10)#