# Math Homework help - PowerPoint PPT Presentation

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Math Homework help

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## 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.

Plane geometry studies figures in a flat, two dimensional space called a plane.

Solid geometry studies figures in a three-dimensional space.

Coordinate Geometry

Volume

• Points, lines, and angles

• Perimeter and area

• Circles

### 1. POINTS

A POINT has no dimension and only position.

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 LINE SEGMENT IS a part of a line

3 WAYS TO DESCRIBE AN ANGLE

ANGLE DEFINED: space formed when two lines meet at a point,

Intersecting lines (vertical/supplementary angles)

Parallel lines

### INTERSECTING/PARALLEL

3 WAYS TO DESCRIBE AN ANGLE

ANGLE DEFINED

ANGLE RELATIONSHIPS

Intersecting lines

### 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.

Important terms

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

• 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.

### Coordinate Geometry

Distance Sq.: (x2-x1)squared + (y1-y2)squared

So the square root of the dist= square root of above

Midpointx1 + x2 /2, y1+y2/2= x midp..y midp.

Slope: m = y2-y1/X2 - X1

• 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)

### Volumes on Volumes

Shape

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

• Cubes

• Cylinders

• Pyramids

• Cones

• Sphere

### NOW THE TRUTH

HAS

BEEN

REVEALED. IF YOU MISSED IT, THEN YOU ARE ONLY HUMAN!

TOTALLY