Given the coordinates (7,−3) , (7,−8) , (11,−4) , and (11,−9) , what is the length of the vertical sides of the quadrilateral, in cm?(1 point)

Answer 1

To find the lengths of the vertical sides of the quadrilateral given the coordinates (7,−3), (7,−8), (11,−4), and (11,−9), we can first identify the points that lie on the same vertical lines.

1. The points (7,−3) and (7,−8) lie on the same vertical line (x = 7).

   • The distance between these two points is calculated as follows: $${\text{Distance}}_{(7,-3)\text{ to }(7,-8)}=|-3-(-8)|=|-3+8|=|5|=5,\text{cm}$$

2. The points (11,−4) and (11,−9) lie on another vertical line (x = 11).

   • The distance between these two points is: $${\text{Distance}}_{(11,-4)\text{ to }(11,-9)}=|-4-(-9)|=|-4+9|=|5|=5,\text{cm}$$

Thus, the lengths of the vertical sides of the quadrilateral are both 5 cm.