We want to find the values of x and y for which quadrilateral is a parallelogram, using the given algebraic expressions for the segment lengths.
Recall the Parallelogram Diagonal Theorem states that if a quadrilateral is a parallelogram, then its diagonals bisect each other.
Therefore, the following segments are congruent.
3y+5=2x+4 and 2y+3=4y-11
Let's create a system of equations.
3y+5=2x+4 & (I) 2y+3=4y-11 & (II)
We will solve the system by using the Substitution Method. Let's start by solving Equation (II).
