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5.5 Properties of Quadrilaterals

5.5 Properties of Quadrilaterals. Objectives : Know properties of special quadrilaterals. Use properties of special quadrilaterals in proofs. Parallelograms: a quadrilateral with both pairs of opposite sides parallel. Opposite sides are congruent. Opposite angles are congruent.

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5.5 Properties of Quadrilaterals

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  1. 5.5 Properties of Quadrilaterals Objectives: • Know properties of special quadrilaterals. • Use properties of special quadrilaterals in proofs

  2. Parallelograms:a quadrilateral with both pairs of opposite sides parallel. Opposite sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary. Diagonals bisect each other.

  3. Rhombus:a quadrilateral with all sides congruent. All sides congruent. Diagonals are . Diagonals bisect angles. Diagonals create 4 congruent triangles.

  4. Rectangle:a quadrilateral with all right angles All angles are right angles. Diagonals are congruent.

  5. Square:a quadrilateral that is both a rectangle and a rhombus Diagonals form 4 congruent isosceles right triangles.

  6. Kite:a quadrilateral in which 2 pairs of consecutive sides are congruent, but opposite sides are not congruent Exactly 1 pair of opposite angles congruent. Diagonals are  Diagonal bisects non-angles. Diagonal bisects other diagonal.

  7. Trapezoid:a quadrilateral with exactly 1 pair of parallel sides

  8. isosceles trapezoid:a trapezoid with the non-parallel sides congruent (legs) Pairs of base angles are congruent. Diagonals are congruent. Upper base angles and lower base angles are supplementary.

  9. Quadrilaterals (4 sides) Kites - (2 prs of cons. sides) Trapezoid - (1 pr of opp. sides ll) Parallelograms (opp. sides ll) Isosceles Trap. (legs are ) Rectangles (all right ’s) Rhombus (all sides ) Square (Rect & Rhomb)

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