A parallelogram has vertices upper R, upper S, upper U, and upper T. Opposite vertices are connected via diagonal lines that intersect at an interior point labeled upper V. The lines formed between each vertex and upper V are labeled.

Question

If quadrilateral RSTU is a parallelogram, what are the lengths of the diagonals of the figure?

(1 point)
Diagonal RT is equal to
and diagonal SU is equal to
.

Answer 1

In a parallelogram, the diagonals have specific properties. For parallelogram RSTU:

1. Diagonal RT connects vertices R and T.
2. Diagonal SU connects vertices S and U.

In any parallelogram, the diagonals bisect each other. This means that each diagonal is split into two equal segments at the point of intersection (point V in this case).

Since the lengths of the diagonals can be determined based on the coordinates of the vertices or segment lengths (if provided) or by specific properties, we will state the lengths in terms of segments if you were given numbers.

However, if we don't have specific values, we can summarize that:

• The length of diagonal RT would be equal to the distance between points R and T.
• The length of diagonal SU would be equal to the distance between points S and U.

If you have specific coordinates or distances for any sides or segments, please provide those to calculate the exact lengths of the diagonals.

If the lengths are not specified further, it would remain as an expression of their general properties.