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 Opposite Sides Theorem states that if a quadrilateral is a parallelogram then its opposite sides are congruent.
RV ≅ ST and VT ≅ RS
By the definition of congruent segments, we can conclude that their lengths are equal.
RV = ST and VT = RS
Let's create a system of equations by substituting the lengths of the segments into these equations.
2x+3=y+5 5x=4y-1
To solve it we will use the Substitution Method.
