Multiply money amounts: word problems

What you'll learn

• Identify and apply at least three different theorems or postulates related to parallelograms (e.g., opposite sides congruent, diagonals bisect each other) to determine if a given quadrilateral, represented graphically or algebraically, is a parallelogram with 80% accuracy.
• Explain, in a clear and concise written argument, why a given quadrilateral is or is not a parallelogram, justifying each step using relevant geometric theorems and definitions with 100% correct theorem citations.
• Solve for unknown side lengths or angle measures in a quadrilateral to prove it is a parallelogram, demonstrating accurate algebraic manipulation and geometric reasoning in at least 4 out of 5 problems.
• Analyze a quadrilateral presented on a coordinate plane, using slope and distance formulas, to determine if opposite sides are parallel and congruent, and then justify whether the quadrilateral is a parallelogram with 90% accuracy.