We want to find the values of x and y for which RSTV is a parallelogram. To do so, we will use the given algebraic expressions for the segment lengths.
The Parallelogram Diagonals Theorem states that if a quadrilateral is a parallelogram, then its diagonals bisect each other.
Therefore, the following segments are congruent.
RP ≅ PT and VP ≅ PS
By the definition of congruent segments, we can conclude that their lengths are equal.
RP = PT and VP = PS
Let's create a system of equations by substituting the lengths of the segments into these equations.
2x=y+2 y=x+3
To solve it we will use the Substitution Method.
