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Bellringer. Complete the Charts . Showing Quadrilaterals a Parallelograms. 6.3. Objectives. Show that a quadrilateral is a parallelogram. Theorems 6.6 and 6.7. Theorem 6.6 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
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Bellringer Complete the Charts
Objectives • Show that a quadrilateral is a parallelogram
Theorems 6.6 and 6.7 • Theorem 6.6 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram • Theorem 6.7 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram
Theorem 6.8 • Theorem 6.8 If an angle of quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram
Theorem 6.9 • Theorem 6.9 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Work it • Solve for x and y so that the figure is a parallelogram
Classwork/Homework • Pg 320 #s 1-20, 28-34 all