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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.html


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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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