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ONLINETUTORSITE.COM provides online tutoring and homework help in the following subjects: Algebra, Pre-Algebra, Calculus,Statistics,Trigonometry, College level Math, Precalculus, Geometry, AP Mathematics, Probability, College Statistics, College Calculus,IB Math,Chemistry,AP Chemistry,IB Chemistry,AP Physics,IB Physics, General Chemistry, College Chemistry, General Physics, College Physics,Biology,AP Biology. We are familiar with AP and IB curriculums and we can tutor any topics in Math, Physics, Chemistry and Biology. We can help you with your school homework assignments and quizzes on a regular basis.We also provide online tutoring for competitive exams like SAT, GRE, GMAT and we are very specialized in providing online tutoring for medical entrance exams like MCAT and DAT. Our tutors are highly qualified and experienced who have been tutoring for more than 6 years. We will be using skype messenger for voice chat and a digital whiteboard for the sessions. We also assign regular homework assignments to students and student’s progress will be regularly monitored. For a 30 min free demo class, email us at [email protected] have been providing online tutoring for more than 6 years and we are very much aware of AP and IB curriculums. We have specialized programs for GRE, GMAT, SAT, MCAT and DAT where we provide all the study materials during the sessions. For GRE, GMAT, SAT sessions there will be regular homework assignments and periodic revision tests which will help you to boost your score.These revision tests will help you to score good grades in the real GRE, GMAT, SAT exams. For Online tutoring, we charge only $8-$10 per hour and the payment can be done through PayPal.We provide online homework help in subjects like Math, Physics, Chemistry, Statistics and Biology. We have a team of highly qualified doctorate tutors who will work on your assignment and email you the detailed Solutions before the deadline. We guarantee you that our work will be 100% accurate. We have been helping students for more than 6 years. Our charges are very reasonable only 2$-3$ per question and the payment can be made via PayPal. You can email your homework assignments with the deadline mentioned in it to [email protected] at anytime. Your mails will be responded immediately. Once the Payment is confirmed your homework will be sent with the detailed solutions asap. Please visit our website at www.onlinetutorsite.com.Contact us at: [email protected]
Citation preview
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.
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
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
ANGLE DEFINED
ANGLE RELATIONSHIPS
Intersecting lines
3 WAYS TO DESCRIBE AN ANGLE
Angle relationships for intersecting lines
Angle relationships for parallel lines
1) Angles opposite Each Other Are Equal and Called Vertical Angles
Corresponding Angles Defined
2) Angles Adjacent to Each Other Are Supplementary
Parallel lines defined
Perpendicular Lines Intersect Ar Right Angles
Alternate Interior Angles formed by transverse lines.
INTERSECTING/PARALLEL
Remember type is defined by number of sides…3/triangle, 4/quadrilateral, 5/pentagon, 6/hexegon…
Differences
Shared Principles
Similar verses Congruent:Angles equal/sides proportional vs. angles equal but sides same size and shape
Sum of the Angles= (N-2) X 180Each angle is #/N (because number of sides=number of angles.)
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
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• 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• 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
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
HAS
TOTALLY
BEEN• REVEALED. IF YOU
MISSED IT, THEN YOU ARE ONLY HUMAN!