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Slide 1: Onlinetutorsite Inc Welcomes You To The World Of Math's Click to edit Master subtitle style In the world of shapes, there exists simple truths. From every angle, there are rules. These rules, if followed, will bring you correct answers & great happiness. In math, all secrets are revealed. 6/21/11
Slide 2: Geometry is the study of figures. • Plane geometry studies figures in a flat, two dimensional space called a plane. • Ø Polygons-Triangles, Quadrilaterals…. Ø Perimeter and area Circles Ø 6/21/11 n n i l t e t u Solid geometry studies figures in a threedimensional space. s r o m e t i o c .
Slide 3: 1. POINTS A POINT has no dimension and only position. 2.LINES AND THE ANGLESTHEY A LINE IS a continuous set of points having 1 dimension length. A LINE SEGMENT IS a part of a line • 3. WAYS TO DESCRIBE AN ANGLE 3 INTERSECTING LINES AND RULES ABOUT ANGLE DEFINED: space formed when two lines meet at a point, ANGLE RELATIONSHIPS(adjacent/complementary) Intersecting lines (vertical/supplementary angles) 6/21/11 Parallel lines n n i l t e t u s r o m e t i o c .
Slide 4: Angle relationships for intersecting lines 1) Angles opposite Each Other Corresponding Angles Are Equal and Called Vertical Defined Angles 2) Angles Adjacent to Each Other Are Supplementary Perpendicular Lines Intersect Are Right Angles 6/21/11 n n i l t e t u Angle relationships for parallel lines s r o m e t i o c . INTERSECTING/PARALLEL Parallel Lines Are Defined Alternate Interior Angles formed by transverse lines.
Slide 5: Polygons: Plane Closed Figure Made Up Of Straight Remember type is defined by number of sides…3/triangle, 4/quadrilateral, 5/pentagon, 6/hexogon… Differences Similar verses Congruent: Angles equal/sides proportional vs. angles equal but sides same size and shape 6/21/11 n n i l t e t u Shared Principles Sum of the Angles= (N-2) X 180 Each angle is #/N (because number of sides=number of angles.) s r o m e t i Line Segments. o c .
Slide 6: . e Angles equal/sides proportional t i vs. r s o Angles equal but sides same size t but sides same u and shape equal tand shape e size n i l n O 6/21/11 Similar vs. Congruent Polygons m o c
Slide 7: Circles : A plane closed figure formed by a set of points equidistant from a fixed point called the center. • Important terms • • • • O 6/21/11 n n i l u t e r o t t i s What is pi? Ratio Circ: Circumference: boundary The area of a center to any point X circle: diameter of a circle! So pi on Radius: distance from circumference. diameter=circ c . e m o
Slide 8: Locates geometric figures on planes via Cartesian Coordinate System. If only x and y then it is two dimensions. If x, y and z then it is no longer on a plane but in space, so it is three dimensional. With x and y only, then two planes are divided into 4 quadrants. (I, 11, 111 and 1V) Coordinate Geometry s r o e t i o c . • Ø Ø Ø 6/21/11 Midpoint Distance Sq.: (x2-x1)squared + (y1y2)squared So the square root of the dist= square root of above n n i l t e x1 + x2 /2, y1+y2/2= x t u m
Slide 9: Volumes on Volumes • • 6/21/11 n n i l t e t u s r o m Formula Shape V= e cubed Cubes e t i o c .
Slide 10: NOW THE TRUTH • Revealed. If You Missed It, Then You Are Only Human! 6/21/11 n n i l t e t u s r o m e t i o c .
Slide 11: Click to edit Master subtitle style r more details visit : www.onlinetutorsite.com 6/21/11 O n n i l Thanko You t u t e i s r . e t m o c