Prove that a quadrilateral is a parallelogram,if its opposite sides are equal |
Prove that a quadrilateral is a parallelogram,if its opposite sides are equal |

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Practice proving that a quadrilateral is a parallelogram. Quadrilateral WXYZ, WC = 2x + and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?
2 + 5
31 + 2

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Transcript

we’re trying to find out what X has to be for W. X, Y. Z to be a parallelogram. We see that X. C and C. Z. Already congruent. What we need to show is that W. C and Y. C are congruent. And to do that, we need to set those equal to each other and solve for X. Because we know that in a parallelogram the diagonals must bisect each other. So let’s ride three x plus two equals…