Classifying Quadrilaterals Tutorial 4a

Introduction A polygon is a geometric figure that is made up of a union of segments that meet only at endpoints. The following shapes are examples of polygons: A Quadrilateral is a four sided Polygon: We will be working with many special quadrilaterals throughout this course. We must introduce a couple new terms that you need to know before we can classify quadrilaterals.

Parallel Lines Parallel Lines are two or more lines on the same plane (coplaner) that do not intersect. m n Line m is parallel to line n. We can write this using the following symbol m || n

Perpendicular Lines Perpendicular lines are lines that intersect to form right angles (  ). l m Line m is perpendicular to line l. We can write this using the following symbol: m  l

Perpendicular Bisector A perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to a segment at its midpoint. AMC S

Classifying Quadrilaterals A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A rhombus is a parallelogram with four congruent sides. A rectangle is a parallelogram with four right angles.

A square is a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is a trapezoid whose nonparallel sides are congruent. Classifying Quadrilaterals

A kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent. Classifying Quadrilaterals

Quiz yourself: Select True (T) or False (F) Classifying Quadrilaterals 1.Another name for a square is a rectangular rhombus.T or FTF 2.A rhombus is always a square.T or FTF 3.A square is always a rhombus.T or FTF 4.A rectangle is always a parallelogram.T or FTF 5.All parallelograms are quadrilaterals.T or FTF 6.All quadrilaterals are parallelograms.T or FTF 7.A trapezoid can be a parallelogram.T or FTF