GEOMETRY Section 6 – 3 Proving a Quadrilateral is a Parallelogram Notes w/ 6-2 Review SUMMARY of information from Section 6 – 2: Properties of Parallelograms 1. If a quadrilateral is a parallelogram, then ______________________________________ 2. If a quadrilateral is a parallelogram, then ______________________________________ 3. If a quadrilateral is a parallelogram, then ______________________________________ PRACTICE USING THAT INFORMATION: 1. Given the following figure is a parallelogram, find the indicated unknowns. w = __________ x = __________ y = __________ z = __________ GEOMETRY Section 6 – 3 Proving a Quadrilateral is a Parallelogram Notes w/ 6-2 Review 2. Given the following figure is a parallelogram, find the indicated unknown. x = __________ Section 6 –3: The CONVERSE STATEMENTS of Section 6 – 2 1. If a quadrilateral _______________________________________________, then ______________________________________ 2. If a quadrilateral _______________________________________________, then ______________________________________ 3. If a quadrilateral _______________________________________________, then ______________________________________ GEOMETRY Section 6 – 3 Proving a Quadrilateral is a Parallelogram Notes w/ 6-2 Review PRACTICE USING THAT INFORMATION: 3. State whether or not each of the following quadrilaterals is a parallelogram, then give reasoning for why. a) YES IT IS NO IT IS NOT Why? ________________________________ _____________________________________ b) YES IT IS NO IT IS NOT Why? ________________________________ _____________________________________ c) YES IT IS NO IT IS NOT Why? ________________________________ _____________________________________ 4. Use the below quadrilateral to answer the following questions; a) Find the value of x. x = __________ b) Is it a parallelogram? YES c) If so…why? NO GEOMETRY Section 6 – 3 Proving a Quadrilateral is a Parallelogram Notes w/ 6-2 Review 5. What values of x and y ensure that the following quadrilateral is a parallelogram? x = __________ y = __________ 6. What value of x ensures that the following quadrilateral is a parallelogram? x = __________ 7. What values of x and y ensure that the following quadrilateral is a parallelogram? x = __________ y = __________
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