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Transcript of Quadrilateral
Quadrilaterals Quadrilateral a polygon with four sides. Parallelogram a quadrilateral with pairs of opposite sides parallel. Background Information a closed plane with at least three sides that are segments. The sides intersect only at their endpoints (no adjacent sides are collinear though). Polygon Rhombus a parallelogram with four congruent sides. Rectangle a parallelogram with four congruent sides and four right angles. Square a parallelogram with four congruent sides and four right angles. Kite a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent. Trapezoid a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent. Isosceles trapezoid a trapezoid whose nonparallel opposite sides are congruent. How are they different from each other? Quadrilateral All shapes have one thing in common; they are quadrilaterals.
All sides are not congruent to each other. Kite Trapezoid Both have 1 pair of parallel sides. No pairs of parallel sides. Isosceles Trapezoid * * Nonparallel opposite sides are congruent. Parallelogram All sides are not congruent. 2 pairs of parallel sides Rectangle Rhombus Square All sides are congruent
All angles are congruent (90 ). o B C D E A At least three sides (this figure has five). Has four sides The shape is two dimensional Sides are straight Not all sides or angles have to be equal (this shape has none). Two pairs of parallel lines Opposite angles are congruent Properties of a Polygon Properties of a Quadrilateral Properties of a Parallelogram Properties of a Rhombus All sides are congruent Diagonals are perpendicular and bisect opposite angles The diagonals bisect the vertex angles Properties of a Rectangle Properties of a Square Opposite sides are parallel and congruent All angles are 90 degrees Diagonals are congruent
Diagonals bisect each other Opposite sides are congruent Consecutive angles are supplementary Diagonals bisect each other Opposite sides are parallel o Consecutive angles are supplementary All angles are 90 degrees o All sides are congruent This is not a polygon Consecutive angles are congruent and supplementary Diagonals bisect each other and are congruent Properties of a Kite Two pairs of consecutive sides are congruent Diagonals are perpendicular and bisect opposite angles One pair of opposite angles is congruent Properties of a Isosceles Trapezoid The non-parallel sides are congruent Diagonals are congruent Base angles are congruent Consecutive angles are supplementary Properties of a Trapezoid One pair of parallel sides The mid segments equal to 1/2 the sum of the bases Tennessee License Plate 1944 Rhombus Surf shop