for context, there's a vertical rectangle that's kinda slanted to the right, it has four points, top left being S, top right being T, bottom left being V, and bottom right being U, there are 2 diagonal lines with point R in the center of it

Question

The diagonals of parallelogram STUV intersect at point R. If SU is equal to 11 inches, what is the length of SR?

____ inches

Answer 1

In a parallelogram, the diagonals bisect each other. This means that point R, which is the intersection of the diagonals ST and UV, divides the diagonals into two equal segments.

Given that SU is equal to 11 inches, the diagonal ST will also be equal to 11 inches because in a parallelogram the opposite sides are equal.

Since R is the midpoint of both diagonals, the length of segment SR (which is half of the diagonal ST) can be calculated as follows:

\[ SR = \frac{ST}{2} = \frac{11}{2} = 5.5 \text{ inches} \]

Thus, the length of SR is 5.5 inches.