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Let’s Review- What is a polygon? Polygons are many-sided figures With sides that are line segments Named according to the number of sides and angles they have. Can be “regular” – all sides and all angles are equal to each other

Polygons These figures are not polygons These figures are polygons

Polygon Names 3 sides Triangle 4 sides Quadrilateral 5 sides Pentagon Hexagon 7 sides Heptagon 8 sides Octagon 9 sides Nonagon 10 sides Decagon Dodecagon 12 sides n sides n-gon

Parallel Lines Parallel Lines Not Parallel Two lines are parallel if they are on the same plane and never intersect. Plane- flat surface. Intersect – means never touch. Parallel Lines Not Parallel

QUADRILATERALS

QUADRILATERAL A QUADRILATERAL is a closed figure with four sides and four angles. They are named based on their sides and angles.

The sum of the angles of all quadrilaterals is 360°. Angle 1 + angle 2+ angle 3 + angle 4 = 360° 360°

Parallelogram A QUADRILATERAL with opposite sides parallel and opposite sides congruent

Rectangle A rectangle is All angles are right QUADRILATERAL – 4 sides PARALLELOGRAM – opposite sides are parallel All angles are right

SQUARE A square is a All sides are congruent All angles are right QUADRILATERAL – 4 sides PARALLELOGRAM – opposite sides are parallel All sides are congruent All angles are right

RHOMBUS A rhombus is a All sides are congruent QUADRILATERAL – 4 sides PARALLELOGRAM – opposite sides are parallel All sides are congruent Opposite angles congruent

TRAPEZOID Parallel lines A trapezoid is a QUADRILATERAL – 4 sides Exactly one pair of parallel sides Parallel lines

Kite A kite is a With no parallel sides QUADRILATERAL – 4 sides With no parallel sides 2 pairs of adjacent congruent sides 4 in. 2 in. 2 in. 4 in.

Quadrilateral Parallelogram Rhombus Rectangle Square Trapezoid

2 pairs of parallel lines 1 pair of parallel lines 2 pairs of adjacent A quadrilateral simply has 4 sides – no other special requirements. Quadrilateral 2 pairs of parallel lines 1 pair of parallel lines 2 pairs of adjacent congruent lines Parallelogram Trapezoid 4 congruent sides 4 right angles A parallelogram has two pairs of parallel sides. A trapezoid has only one pair of parallel sides. Kite Rhombus An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides. Rectangle 4 congruent sides and 4 right angles A rectangle has four right angles. A rhombus is a parallelogram that has four congruent sides. A square is a specific case of both a rhombus AND a rectangle, having four right angles and 4 congruent sides. Square

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Best Name: Trapezoid

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Square Best Name: This quadrilateral is also: a rectangle a rhombus a parallelogram

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Best Name: Rhombus This quadrilateral is also: a parallelogram

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Best Name: Quadrilateral

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Best Name: Rectangle This quadrilateral is also: a parallelogram

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Best Name: Parallelogram

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Best Name: Trapezoid

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Best Name: Quadrilateral

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Best Name: Parallelogram

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Best Name: Trapezoid

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Best Name: Rectangle This quadrilateral is also: a parallelogram

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Best Name: Rhombus This quadrilateral is also: a parallelogram

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Square Best Name: This quadrilateral is also: a rectangle a rhombus a parallelogram

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