11 QUADRILATERALS Every quadrilateral will fit into one of 6 categories. Trapezoid, Kite, Parallelogram, Rhombus, Rectangle, and Square.They depend upon how many sets of lines are parallel (0, 1, or 2), how many pairs of sides are congruent, and how many angles are congruent.
12 QUADRILATERAL FLOWCHART QUADRILATERALSHow many sets of parallel sides does the quadrilateral have??If there are 2 sets of parallel lines, then the figure is some type of PARALLELOGRAM!If 0 is the answer, then the quadrilateral is a ‘KITE’.If 0 is the answer, then the quadrilateral is a ‘KITE’.If 1 is the answer, then the quadrilateral is a ‘TRAPEZOID’‘RHOMBUS’RECTANGLEBoth sets of lines are parallel, and all sides are congruent!(IF the two non-parallel sides are congruent, it is an isosceles trapezoid)SQUAREAll 4 sides equal, all 4 90° angles
13 TRAPEZOIDIf a quadrilateral has just one pair of parallel lines, then it is a trapezoid
14 PARALLELOGRAMA quadrilateral is a parallelogram if it has TWO sets of parallel lines
15 RHOMBUSA quadrilateral is a RHOMBUS, if it has two sets of parallel lines AND all 4 sides are congruent.
16 RECTANGLEA Quadrilateral is a Rectangle if it has two sets of parallel lines, and all 4 angles are congruent (RIGHT angles).
17 SQUAREA quadrilateral is a square if it has two sets of parallel lines, 4 congruent sides, and 4 congruent angles (RIGHT angles).
18 KITEThis quadrilateral has no sets of parallel lines.