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2.3b:Quadrilaterals

- Tests for Parallelograms . 2.3b:Quadrilaterals. CCSS:. GSE’s. M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving polygons.

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2.3b:Quadrilaterals

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  1. - Tests for Parallelograms 2.3b:Quadrilaterals CCSS: GSE’s M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving polygons

  2. Th. 6-5 : If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. A B What does this tell us ? T R

  3. Th. 6-6: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. W P What does this tell us? Q A

  4. Th. 6-7: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. H P G M B

  5. Th. 6-8: If one pair of opposite sides of a quadrilateral is both parallel and Congruent, then the quadrilateral is a parallelogram. OR

  6. The coordinates of the vertices of quadrilateral EFGH are E (6,5) F (6,11) G (14,18) H ( 14,12) Determine if EFGH is a parallelogram. Justify your answer mathematically

  7. Determine whether the quadrilateral SNOW with the given Vertices is a parallelogram by Diagonals bisecting each other S (7,4) N (5,1) O (0,0) W (2,3)

  8. Find the possible coordinates For the 4th vertex of a Parallelogram with vertices A, B, and C

  9. Find the coordinates Of all possible Coordinates for the 4th vertices of the parallelogram

  10. Given: Prove: Reasons Statement Given 1 , 1

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