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Lecture General mathematics: Lecture 22 - Ms. Fehmida Haroon

This can be stated symbolically as F′ = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative. | General Mathematics ADE 101 Unit 3 LECTURE No. 22 QUADRILATERALS Today’s Objectives Knowledge Test Quadrilateral A quadrilateral is a polygon with 4 sides. Square Still has two pairs of parallel sides. Has four congruent sides Has four right angles Property of Quadrilaterals The sum of all the angles equals 360º degrees. 90º 90º 90º 90º 90º 90º 90º 90º + 360º Types of Quadrilaterals Rectangle: Quadrilateral with two pairs of equal sides and four right angles (90 degrees) Indicates equal sides Box indicates 900 angle 9 Property of Quadrilaterals The sum of all the angles equals 360º degrees. 90º 90º 90º 90º 90º 90º 90º 90º + 360º Rhombus Still has two pairs of parallel sides; with opposite sides congruent. 4 in. 4 in. 4 in. 4 in. Property of Quadrilaterals The sum of all the angles equals 360º degrees. 65º 115º 65º 115º 65º 65º 115º 115º + 360º What is the missing angle? 65º 115º 65º ? 65º 65º 115º ? + 360º Types of Quadrilaterals Trapezoid: Quadrilateral with one pair of parallel sides Parallel sides never meet. 16 Property of Quadrilaterals The sum of all the angles equals 360º degrees. 70º 110º 70º 110º 70º 70º 110º 110º + 360º Trapezoid has one pair of parallel sides. Isosceles trapezoid trapezoids (Each of these examples shown has top and bottom sides parallel.) Types of Quadrilaterals Parallelogram: Quadrilateral with opposite sides that are parallel and of equal length and opposite angles are equal Indicates equal sides 20 Parallelogram Two pairs of parallel sides opposite sides are actually congruent. Types of Quadrilaterals Irregular shapes: Quadrilateral with no equal sides and no equal angles 22 An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides. Example of a Kite 2 in. 4 in. 4 in. 2 in. Name the Quadrilaterals 1 2 3 4 5 6 rectangle irregular rhombus parallelogram trapezoid square 26 Interior Angles Interior angles: An interior angle (or internal angle) is an angle formed by two sides of a simple polygon that . | General Mathematics ADE 101 Unit 3 LECTURE No. 22 QUADRILATERALS Today’s Objectives Knowledge Test Quadrilateral A quadrilateral is a polygon with 4 sides. Square Still has two pairs of parallel sides. Has four congruent sides Has four right angles Property of Quadrilaterals The sum of all the angles equals 360º degrees. 90º 90º 90º 90º 90º 90º 90º 90º + 360º Types of Quadrilaterals Rectangle: Quadrilateral with two pairs of equal sides and four right angles (90 degrees) Indicates equal sides Box indicates 900 angle 9 Property of Quadrilaterals The sum of all the angles equals 360º degrees. 90º 90º 90º 90º 90º 90º 90º 90º + 360º Rhombus Still has two pairs of parallel sides; with opposite sides congruent. 4 in. 4 in. 4 in. 4 in. Property of Quadrilaterals The sum of all the angles equals 360º degrees. 65º 115º 65º 115º 65º 65º 115º 115º + 360º What is the missing angle? 65º 115º 65º ? 65º 65º 115º ? + 360º Types of Quadrilaterals Trapezoid: Quadrilateral with one pair of parallel .