The truth is not hidden : 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.
Geometry is the study of figures. : Geometry is the study of figures. Plane geometry studies figures in a flat, two dimensional space called a plane. Points, lines, and angles
Polygons-Triangles, Quadrilaterals… .
Perimeter and area
Circles Solid geometry studies figures in a three-dimensional space. Coordinate Geometry
Volume
1. POINTS : 1. POINTS 2.LINES AND THE ANGLESTHEY FORM 3. )INTERSECTING LINES AND RULES ABOUT ANGLES FORMED A LINE IS a continuous set of points having 1 dimension_length. A POINT has no dimension and only position. A LINE SEGMENT IS a part of a line ANGLE DEFINED: space formed when two lines meet at a point, Parallel lines ANGLE RELATIONSHIPS(adjacent/complementary) Intersecting lines (vertical/supplementary angles) 3 WAYS TO DESCRIBE AN ANGLE
INTERSECTING/PARALLEL : ANGLE DEFINED ANGLE RELATIONSHIPS Intersecting lines 3 WAYS TO DESCRIBE AN ANGLE INTERSECTING/PARALLEL
Polygons: plane closed figure made up of straight line segments. : Polygons: plane closed figure made up of straight line segments.
Angles equal/sides proportional vs. angles equal but sides same size and shape equal but sides same size and shape : Angles equal/sides proportional vs. angles equal but sides same size and shape equal but sides same size and shape Similar vs. Congruent Polygons
Circles : a plane closed figure formed by a set of points equidistant from a fixed point called the center. : Circles : a plane closed figure formed by a set of points equidistant from a fixed point called the center. Important terms Circumference: boundary
Radius: distance from center to any point on circumference.
Diameter-line segment passing through the center and ending on both ends at circ.
Chord: line segment having both endpoints on circ….longest one is diameter
Secant: line passing throught the circle interesting it at 2 points
Tangent: line intersecting the circle at only one point. Radius from that point is perpendicular to the tangent.
Arc: a part of the circ.
Semi-Cirlce- an arc that is ½ the circumference.
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. What is pi? Ratio Circ: diameterr of a circle! So pi X diameter=circ The area of a circle:
A= pi r squared
Pi= 3.14 or 3.1
or
3 1/7 or 22/7
Coordinate Geometry : 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
Volumes on Volumes : Volumes on Volumes Shape Cubes
Cylinders
Pyramids
Cones
Sphere Formula V= e cubed
V=pi r squared h
V=1/3lwh
V=1/3 pi r squared h
V=4/3 pi r cubed
NOW THE TRUTH : NOW THE TRUTH HAS TOTALLY BEEN REVEALED. IF YOU MISSED IT, THEN YOU ARE ONLY HUMAN!
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