*Gel ready for analytic geometry $x$
Quiz 1
Rectangle $A B C D$ is graphed in the coordinate plane. The following are the vertices of the rectangle: $A(-7,-5), B(-7,6), C(-4,6)$, and $D(-4,-5)$
Given these coordinates, what is the length of side $C D$ of this rectangle?
units
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Answer
Final Answer: The length of side CD of the rectangle is \(\boxed{11}\) units.
Step 1 ：Given the coordinates of points C and D as C = (-4, 6) and D = (-4, -5) respectively.
Step 2 ：Since they have the same x-coordinate, the length of side CD of the rectangle can be calculated by finding the difference in the y-coordinates of points C and D.
Step 3 ：This is because the length of a vertical line segment in the coordinate plane is the difference in the y-coordinates of its endpoints.
Step 4 ：So, the length of side CD = |6 - (-5)| = 11.
Step 5 ：Final Answer: The length of side CD of the rectangle is \(\boxed{11}\) units.
