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.
-
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: \[ \text{Distance}_{(7,-3) \text{ to } (7,-8)} = |-3 - (-8)| = |-3 + 8| = |5| = 5 , \text{cm} \]
-
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.
1 answer