the abc’s of geometry by: james bowie and justin scutt

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The ABC’S OF The ABC’S OF GEOMETRY GEOMETRY BY: BY: JAMES BOWIE AND JUSTIN JAMES BOWIE AND JUSTIN SCUTT SCUTT

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Page 1: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

The ABC’S OF The ABC’S OF GEOMETRY GEOMETRY

BY: BY:

JAMES BOWIE AND JUSTIN JAMES BOWIE AND JUSTIN SCUTTSCUTT

Page 2: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

ACUTE ANGLE ACUTE ANGLE

An acuteAn acute angle is always less angle is always less than 90 degrees.than 90 degrees.

Page 3: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

BaseBase

Base is the lowest part or edge Base is the lowest part or edge of something, especially the part of something, especially the part on which it rests or is supported.on which it rests or is supported.

Page 4: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Correspondent angleCorrespondent angle

The angles in matching corners The angles in matching corners are called Corresponding Anglesare called Corresponding Angles

Page 5: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

DiamerterDiamerter

DiameterDiameter line segment (or length) line segment (or length) joining two points on a circles joining two points on a circles circumference and passes through circumference and passes through the circle's center (twice the length the circle's center (twice the length of the radius)of the radius)

Page 6: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Exponent Exponent • Exponent

An exponent is a small number written with another big number that tells how many times to multiply the big number by itself.

Page 7: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Formula Formula

a mathematical relationship or rule a mathematical relationship or rule expressed in symbols. chemical expressed in symbols. chemical formulas.a fixed form of words, formulas.a fixed form of words, especially one used in particular especially one used in particular contexts or as a conventional usage.contexts or as a conventional usage.

Page 8: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

GeometryGeometrythe branch of mathematics

concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

Page 9: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Hypotenuse Hypotenuse

the longest side of a right triangle, opposite the right angle

Page 10: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Isosceles Triangle Isosceles Triangle

a triangle with two equal sides

Page 11: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Adjacent Adjacent

having a common vertex and a common side.

Page 12: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

skewskewskew lines are two lines that do not

intersect and are not parallel.

Page 13: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Line Line

A long thin mark made by a pen, pencil, etc.In geometry a line:· is straight (no curves), · has no thickness, and · extends in both directions without end (infinitely). 

Page 14: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

MidpointMidpointMidpoint of a line segment is the Midpoint of a line segment is the

point that is halfway between the point that is halfway between the endpoints of the line segment.endpoints of the line segment.

Page 15: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Number line Number line

A line representing the set of all real A line representing the set of all real numbers. The number line is typically numbers. The number line is typically marked showing integer values.marked showing integer values.

Page 16: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Ordered pair Ordered pair

Two numbers written in a certain Two numbers written in a certain order. order.

Usually written in parentheses like Usually written in parentheses like this: (4,5) this: (4,5)

Page 17: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

PIPIPi is a name given to the ratio of the Pi is a name given to the ratio of the

circumference of a circle to the circumference of a circle to the diameter. That means, for any circle, diameter. That means, for any circle, you can divide the circumference (the you can divide the circumference (the distance around the circle) by the distance around the circle) by the diameter and always get exactly the diameter and always get exactly the same number. It doesn't matter how big same number. It doesn't matter how big or small the circle is, Pi remains the or small the circle is, Pi remains the same. Pi is often written using the same. Pi is often written using the symbol and is pronounced "pie", just symbol and is pronounced "pie", just like the dessert.like the dessert.

Page 18: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Quadrilaterals Quadrilaterals

Quadrilateral just means "four sides" Quadrilateral just means "four sides" (quad means four, lateral means (quad means four, lateral means side).Any four-sided shape is a side).Any four-sided shape is a Quadrilateral. But the sides have to Quadrilateral. But the sides have to be straight, and it has to be 2-be straight, and it has to be 2-dimensional. dimensional.

Page 19: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

RadiusRadius

The distance from the center to the edge of a circleIt is half of the circle's diameter.

Page 20: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

SeptagonSeptagonA 7-sided polygon (a flat shape with

straight sides). (Also called Heptagon)

Page 21: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

TriangleTriangle

A basic three A basic three sided shape. sided shape.

Page 22: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Undefined Slope Undefined Slope

 A vertical line has undefined slope because all points on the line have the same x-coordinate. As a result the formula used for slope has a denominator of 0, which makes the slope undefined.

Page 23: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Vertical Angle Vertical Angle

Vertical in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Page 24: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

widthwidth

the measurement or extent of the measurement or extent of something from side to side.something from side to side.

Page 25: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

X-coordinante X-coordinante

The horizontal value in a pair of coordinates. How far along the point is. Always written first in an ordered pair of coordinates (x,y), such as (12,5).

Page 26: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

Y-axis Y-axis

the secondary or vertical axis of a system of coordinates, points along which have a value of zero for all other coordinates.

Page 27: The ABC’S OF GEOMETRY BY: JAMES BOWIE AND JUSTIN SCUTT

ZeroZero

no quantity or number; naught; the figure 0.