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5.9 Show that a Quadrilateral is a Parallelogram wooo hooo…get excited…oh yea!!!!

5.9 Show that a Quadrilateral is a Parallelogram wooo hooo…get excited…oh yea!!!!. Theorems of Quadrilaterals. 5.22 If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram. (draw what’s needed on the diagram to make it fit the theorem)

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5.9 Show that a Quadrilateral is a Parallelogram wooo hooo…get excited…oh yea!!!!

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  1. 5.9Show that a Quadrilateral is a Parallelogramwooo hooo…get excited…oh yea!!!!

  2. Theorems of Quadrilaterals 5.22 If both pairs of opposite sides are congruent, then the quadrilateral is a parallelogram.(draw what’s needed on the diagram to make it fit the theorem) 5.23 If both pairs of opposite angles are congruent, then the quadrilateral is a parallelogram.(draw what’s needed on the diagram to make it fit the theorem)

  3. 5.24 If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. (draw what’s needed on the diagram to make it fit the theorem) 5.25 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. (draw what’s needed on the diagram to make it fit the theorem)

  4. ALGEBRA Find the values of xand y. CD AB= Opposite sides of a are . 12 x + 4= x = 8 or m A = m C. By Theorem 8.4, A C, ANSWER InABCD, x = 8andy = 65. ABCDis a . Use parallelogram by the definition of a parallelogram Theorem 8.3 to find the value of x. Substitute x + 4 for ABand 12 for CD. Subtract 4 from each side. So, y ° = 65°.

  5. Find FGand m G. Find the values of xand y. 1. 2. ANSWER ANSWER 8, 60° 25, 15 GUIDEDPRACTICE

  6. Find the indicated measure in JKLM. 6. 3. 4. 5. NM m KML KM m JML 4 70° 40° 2 ANSWER ANSWER ANSWER ANSWER GUIDED PRACTICE for Examples 2 and 3

  7. With a partner, do #’s 5-6 on p. 312

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