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The truth is not hidden
In the world of shapes, there existssimple truths. From every angle,
there are rules. These rules, iffollowed, will bring you correctanswers & great happiness.
In math, all secrets arerevealed.
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Geometry is the study of figures.
Plane geometry studies figures in a flat, two dimensionalspace called a plane.
Points, lines, and angles
Polygons-Triangles,Quadrilaterals.
Perimeter and area
Circles
Solid geometry studies figures in athree-dimensional space.
Coordinate Geometry
Volume
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1. POINTS
2.LINES AND THEANGLESTHEY FORM
3. )INTERSECTING LINES ANDRULES ABOUT ANGLES FORMED
A LINE IS a continuous set of points having 1dimension_length.
A POINT has no dimension and only position.
A LINE SEGMENT IS a part of a line
ANGLE DEFINED: space formed when twolines meet at a point,
Parallel lines
ANGLERELATIONSHIPS(adjacent/complementary)
Intersecting lines (vertical/supplementary
angles)
3 WAYS TO DESCRIBE AN ANGLE
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ANGLE DEFINED
ANGLE RELATIONSHIPS
Intersecting lines
3 WAYS TO DESCRIBE AN ANGLE
Angle relationships forintersecting lines
Angle relationships forparallel lines
1) Angles opposite Each OtherAre Equal and Called VerticalAngles
Corresponding Angles Defined
2) Angles Adjacent to EachOther Are Supplementary
Parallellines defined
Perpendicular Lines IntersectAr Right Angles
Alternate Interior Anglesformed by transverse lines.
INTERSECTING/PARALLEL
http://users/sherrymeyer/Geometry%20Power%20Point_brain/Geometry%20Power%20Point%20(Simple)/Geometry%20Power%20Point%20(Simple)/thoughtData/49.htmlhttp://users/sherrymeyer/Geometry%20Power%20Point_brain/Geometry%20Power%20Point%20(Simple)/Geometry%20Power%20Point%20(Simple)/thoughtData/48.htmlhttp://users/sherrymeyer/Geometry%20Power%20Point_brain/Geometry%20Power%20Point%20(Simple)/Geometry%20Power%20Point%20(Simple)/thoughtData/48.htmlhttp://users/sherrymeyer/Geometry%20Power%20Point_brain/Geometry%20Power%20Point%20(Simple)/Geometry%20Power%20Point%20(Simple)/thoughtData/48.htmlhttp://users/sherrymeyer/Geometry%20Power%20Point_brain/Geometry%20Power%20Point%20(Simple)/Geometry%20Power%20Point%20(Simple)/thoughtData/48.htmlhttp://users/sherrymeyer/Geometry%20Power%20Point_brain/Geometry%20Power%20Point%20(Simple)/Geometry%20Power%20Point%20(Simple)/thoughtData/49.html8/14/2019 Statistics Tutor,Statistics Help,Statistics Homework Tutoring,Statistics Homework help,Statistics Quiz help,Statistics Assignment help,Chemistry Homework help,Chemistry Tutori
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Remember type is definedby number of sides3/triangle, 4/quadrilateral,
5/pentagon, 6/hexegon
Differences
Shared Principles
Similar verses Congruent:Angles equal/sidesproportional vs. angles equalbut sides same size and shape
Sum of the Angles= (N-2) X180Each angle is #/N (becausenumber of sides=number ofangles.)
Polygons: plane closed figure made up of straightline segments.
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Angles equal/sides proportionalvs. angles equal but sides
same size and shape equal butsides same size and shape
Similar vs. Congruent Polygons
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Circles : a plane closed figure formed by a set ofpoints 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 oncirc.longest one is diameter
Secant: line passing throught the circle interesting it at 2points
Tangent: line intersecting the circle at only one point.Radius from that point is perpendicular to thetangent.
Arc: a part of the circ.
Semi-Cirlce- an arc that is the circumference.
Sector: The interior part of circle boredered by two radiiiand the arc they intercept.
Central Angle: verses inscribed anglecenter point vs.point on circumference.
What is pi? Ratio Circ: diameterr ofa 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
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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, 111and 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
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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
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NOW THE TRUTH
HAS
TOTALLY
BEEN
REVEALED. IF YOUMISSED IT, THEN YOU
ARE ONLY HUMAN!
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