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BASIC GEOMETRY Section 6.3: Conditions for a Parallelogram Properties & Conditions Properties If it is a parallelogram, then it does this yesterday Conditions If it does this, then it is a parallelogram Today 6 Conditions to make a parallelogram If any one of these sets of conditions, then the figure must be a parallelogram Def of parallelogram 1 pair of & sides Both pair of opposite sides = Both pair of opposite angles = supp to both its cons 's Diags bisect each other Example 1 Show that JKLM is a parallelogram for a = 3 & b = 9. Example 2 Show that PQRS is a parallelogram for x = 10 & y = 6.5. Example 3 Determine if each quadrilateral must be a parallelogram. Justify your answer. Example 4 Show that quadrilateral JKLM is a parallelogram by using the def of parallelogram. J(-1,-6), K(-4,-1), L(4,5), M(7,0); Example 5 Show that quadrilateral ABCD is a parallelogram by one pair of opp sides // and =. A(2,3), B(6,2), C(5,0), D(1,1) Example 6 The legs of a keyboard tray are connected by a bolt at their midpoints, which allows the tray to be raised or lowered. Why is PQRS always a parallelogram? Assignment #3 page 402 #’s 1-8,35-37,(46)