NOTES 5.4 FOUR-SIDED POLYGONS.

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Presentation transcript:

NOTES 5.4 FOUR-SIDED POLYGONS

Polygons: Plane figures Many sided figures Straight line segments Consecutive sides intersect at endpoints Each vertex belongs to only two sides

Is this a polygon? 1. 1. EFGH is not a polygon because it is not entirely made up of straight segments. 2. 2. ABCDE is not a polygon because nonconsecutive sides do not intersect.

Is this a polygon? 3. 3. PKMO, PKMOR and POR are polygons but PKMOPRO is not because each vertex must belong to exactly two sides. 4. 4. SVTY is a polygon but SVTXY is not because consecutive sides must be noncollinear.

Is this a polygon? 5. PLAN is not a polygon because it is an open figure. 5. 6. 6. Yes, these are all polygons.

Name polygons by their sides, either clockwise or counter clock wise. Convex Polygons: A polygon in which each interior angle has a measure less than 180 degrees. no yes

Diagonals: a diagonal of a polygon is any segment that connects two non-consecutive (nonadjacent) vertices of a polygon.

Quadrilaterals: 4 sided polygons. Parallelogram: both pairs of opposite sides are parallel Rectangle: a parallelogram with at least one right angle Rhombus: a parallelogram with at least two consecutive sides are congruent Kite: two disjointed pairs of consecutive sides are congruent Square: parallelogram that is a rectangle and a rhombus

Trapezoid: a quadrilateral with exactly one pair of parallel sides Trapezoid: a quadrilateral with exactly one pair of parallel sides. Parallel sides are called the bases of the trapezoid. Isosceles trapezoid: trapezoid in which non-parallel sides (legs) are congruent. Base angles are lower and upper base angles.