The truth is not hidden




In the world of shapes, there exists
 simple truths. From every angle,
   there are rules. The...
Geometry is the study of figures.
Plane geometry studies figures   Solid geometry studies figures
in a flat, two dimension...
1. POINTS

            A POINT has no dimension and only position.

      2.LINES AND THE
     ANGLESTHEY FORM
           ...
INTERSECTING/PARALLEL
Angle relationships for         Angle relationships for parallel
intersecting lines              lin...
Polygons: plane closed figure made up of straight
                                     line segments.
Similar vs. Congruent Polygons




Angles equal/sides proportional vs.
 angles equal but sides same size
 and shape equal ...
Circles : a plane closed figure formed by a set of
     points equidistant from a fixed point called the center.

        ...
Coordinate Geometry
•   Locates geometric figures on planes via Cartesian Coordinate System. If only x
    and y then it i...
Volumes on Volumes
Shape             Formula

•   Cubes         •   V= e cubed
•   Cylinders     •   V=pi r squared h
•   ...
NOW THE TRUTH
HAS              BEEN
TOTALLY          • REVEALED. IF YOU
                   MISSED IT, THEN YOU
           ...
Math homework help, math tutor, math tutoring   by onlinetutorsite
Math homework help, math tutor, math tutoring   by onlinetutorsite
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Math homework help, math tutor, math tutoring by onlinetutorsite

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Math homework help, math tutor, math tutoring by onlinetutorsite

  1. 1. The truth is not hidden 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.
  2. 2. Geometry is the study of figures. Plane geometry studies figures Solid geometry studies figures in a flat, two dimensional in a three-dimensional space. space called a plane.  Points, lines, and angles  Polygons-Triangles,  Coordinate Geometry Quadrilaterals….  Perimeter and area  Volume  Circles
  3. 3. 1. POINTS A POINT has no dimension and only position. 2.LINES AND THE ANGLESTHEY FORM A LINE IS a continuous set of points having 1 dimension_length. 3. )INTERSECTING LINESa part of a line A LINE SEGMENT IS AND RULES ABOUT ANGLES FORMED 3 WAYS TO DESCRIBE AN ANGLE ANGLE DEFINED: space formed when two lines meet at a point, ANGLE RELATIONSHIPS(adjacent/complementary) Intersecting lines (vertical/supplementary angles) Parallel lines
  4. 4. INTERSECTING/PARALLEL Angle relationships for Angle relationships for parallel intersecting lines lines 1) Angles opposite Each Other Corresponding Angles Are Equal and Called Vertical Defined Angles 3 WAYS TO DESCRIBE AN ANGLE 2) Angles Adjacent to Each ANGLE DEFINED Parallel lines defined Other Are Supplementary ANGLE RELATIONSHIPS Perpendicular Lines Intersect Alternate Interior Angles Ar Right Angles formed by transverse lines. Intersecting lines
  5. 5. Polygons: plane closed figure made up of straight line segments.
  6. 6. Similar vs. Congruent Polygons Angles equal/sides proportional vs. angles equal but sides same size and shape equal but sides same size and shape
  7. 7. Circles : a plane closed figure formed by a set of points equidistant from a fixed point called the center. What is pi? Ratio Circ: diameterr Important terms of a circle! So pi X diameter=circ • Circumference: boundary • Radius: distance from center to any point on • The area of a circle: circumference. • Diameter-line segment passing through the center and ending on both ends at circ.  Chord: line segment having both endpoints on • A= pi r squared circ….longest one is diameter Secant: line passing throught the circle interesting it at 2 points • Pi= 3.14 or 3.1 Tangent: line intersecting the circle at only one point. Radius from that point is perpendicular to the or tangent. Arc: a part of the circ. Semi-Cirlce- an arc that is ½ the circumference.  3 1/7 or 22/7 Sector: The interior part of circle boredered by two radiii and the arc they intercept. Central Angle: verses inscribed angle…center point vs. point on circumference.
  8. 8. Coordinate Geometry • 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)  Distance Sq.: (x2-x1)squared + (y1-y2)squared  So the square root of the dist= square root of above  Midpoint x1 + x2 /2, y1+y2/2= x midp..y midp.  Slope: m = y2-y1/X2 - X1
  9. 9. Volumes on Volumes Shape Formula • Cubes • V= e cubed • Cylinders • V=pi r squared h • Pyramids • V=1/3lwh • Cones • V=1/3 pi r squared h • Sphere • V=4/3 pi r cubed
  10. 10. NOW THE TRUTH HAS BEEN TOTALLY • REVEALED. IF YOU MISSED IT, THEN YOU ARE ONLY HUMAN!

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