Types of quadrilaterals and its properties (group 4)
TYPES OF QUADRILATERAL AND ITS PROPERTIES BY: Group 4
LEARNING OBJECTIVES• To understand the difference between the types of quadrilaterals.• To understand the properties of the types of
TYPES OF QUADRILATERALS• In this presentation we are going to learn some special quadrilaterals:• Rectangle• Rhombus• Kite• Arrowhead• Isosceles trapezium
WHAT IS AIS A QUADRILATERAL?? WHAT QUADRILATERAL• The word “quadrilateral” comes fromtwo Latin words “quadri” which means ‘avariant of four’ and “lateral” which meansside.• Any four-sided shape is a quadrilateral.• A quadrilateral is a closed figure with fourangles, four sides and four vertices
PROPERTIES OF A QUADRILATERAL• Interior Angle Sum Property: According to this property, the sum of the interior angles of the quadrilateral is 360°• Exterior Angle Sum Property: According to this property, the sum of the exterior angles of the quadrilateral is 360°
RECTANGLEThe rectangle, like the square, is one of the most commonly known quadrilaterals. It is defined as having all four interior angles 90° (right angles).• It is a polygon with four sides, four vertices and four equal angles.
• Opposite sides are parallel and congruent• The diagonals bisect each other• The diagonals are congruent D C A B
RHOMBUS• Rhombus is a 4-sided flat shape with straight sides where all sides have equal length.• It is a type of parallelogram.
• A rhombus has all sides equal, while a rectangle has all angles equal.• A rhombus has alternate angles equal, while a rectangle has alternate sides equal.• A rhombus has an inscribed circle, while a rectangle has a circumcircle.• A rhombus has an axis of symmetry through each pair of opposite vertex angles, while a rectangle has an axis of symmetry through each pair of opposite sides.• The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
KITE• A quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other is called a kite.• A kite has 4 sides, 4 vertices and 4 angles.
• Two disjoint pairs of consecutive sides arecongruent by definition• The diagonals are perpendicular.• One diagonal (segment KM, the maindiagonal) is the perpendicular bisector of theother diagonal (segment JL, the cross diagonal).(The terms “main diagonal” and “cross diagonal”are made up for this example.)• The main diagonal bisects a pair of oppositeangles (angle K and angle M).• The opposite angles at the endpoints of thecross diagonal are congruent (angle J and angleL).Note: Disjoint means that the two pairs are totally separate.
An arrowhead is a type of quadrilateral with one pair of sides with equal length• It is also called as a concave quadrilateral.• One pair of sides with equal length.• It has no parallel sides
ISOSCELES TRAPEZIUM• An isosceles trapezoid is a trapezoid where the legs have equal length. It can also be defined as a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides, making it automatically a trapezoid.
• Two opposite sides (the bases) are parallel.• The two other sides (the legs) are of equal length.• The diagonals are also of equal length.• The base angles of an isosceles trapezoid are equal in measure