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Question

Parallelogram upper S upper T upper U upper V is shown with base upper V upper U shorter than the height upper U upper T. Diagonals are drawn from upper S to upper U and upper T to upper V to meet at upper R.

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

(1 point)
inches

Answer 1

In any parallelogram, the diagonals bisect each other. This means that the point where the diagonals intersect, point \( R \), divides each diagonal into two equal segments.

Given that \( SU \) is equal to 11 inches, we can find the length of \( SR \) as follows:

Since \( R \) is the midpoint of \( SU \), the length of \( SR \) is half of \( SU \):

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

Thus, the length of \( SR \) is \( \boxed{5.5} \) inches.