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Math tutor,math homework help, math tutoring by onlinetutorsite

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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 …

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 curriculum 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.

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  • 1. Volumes & Surfaces Areas
    3
  • 2. 2
    2
  • 3.
  • 4. Surface Area of Any Prism
     (b is the shape of the ends)
    Surface Area = Lateral area + Area of two ends
    (Lateral area) = (perimeter of shape b) * L
    Surface Area = (perimeter of shape b) * L+ 2*(Area of shape b)
           
  • 5. RHS Congruence
    RHS-Right Angle Hypotenuse Side!
    • When the right angle and the hypotenuse and the given side are equal for a right angle triangle then we say that the given 2 triangles are congruent.
  • Example proving RHS congruence
    D
    A
    F
    C
    B
    E
    <B=<E=90 degrees
    AC=DF (hypotenuse)
    BC=EF (given side)
  • 6. Example proving AAA congruence
    P
    A
    In this figure QA and PB are perpendiculars to AB. If AO is equal to 10cm, BO equal to 6cm, & PB equal to 9cm, Find AQ.
    O
    Let us consider the triangles OAQ and OBP congruent.
    <A=<B A
    <AOQ=<BOP (vertically opposite angles) A
    <P=<Q (corresponding) A
    10 AQ
    6 = 9
    90=6AQ
    AQ=15
    Q
    B
  • 7. In a parallelogram if one angle A is equal to 110 degrees find the remaining angles?
    All sides of a parallelogram have to equal 360 degrees. So if Angle A is 110 degrees then
    360=110 + B + C + D
    -110=- 110
    250= B + C + D
    D also =s 110
    360-220= 140
    So B & C = 70.
  • 8. If the diagonals of a parallelogram are equal, then show it is a rectangle?
    Theorem 11.1 If ABCD is a parallelogram then its nonconsecutive sides and its nonconsecutive angles are equal.
    Proof We need to prove that AB = CD, BC = AD.
  • 9. SASSide/Angle/Side
    SAS- If 2 sides and the included angle are congruent to 2 sides and the included angle of a 2nd triangle, the 2 triangles are congruent. And included angle is an angle created by 2 sides of a triangle.
  • 10. SSSSide/Side/Side
    It is a rule that is used in geometry to prove triangles congruent. The rule states that if 3 sides on 1 triangle are congruent to 3 sides of a 2nd triangle, the 2 triangles are congruent.
     
     
  • 11. AAAAngle/Angle/Angle
    If in 2 triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the 2 triangles are similar.
    a
    d
    <a=<d
    <b=<e
    <c=<f
    b
    c
    e
    f
  • 12. ASAAngle/Side/Angle
    ASA is a rule used in geometry to prove triangles are congruent. The rule states that if 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, the triangles are congruent.
  • 13. AASAngle/Angle/Side
    AAS is used in geometry to prove triangles are congruent. The rules state that if 2 angles and a non-included side of 1 triangle are congruent to 2 angles and the corresponding non-included side of another triangle the 2 triangles are congruent.
  • 14. CPCTCCorresponding Parts of Congruent Triangle Are Congruent/Equal
    When 2 triangles are congruent, all 6 pairs of corresponding parts {angles & sides} are congruent. This statement is usually simplified as corresponding parts of congruent triangles are congruent.
    If
                            
    then the following conditions are true:
                  
                 
                 
                          
                          
                           
  • 15. E q u i v a l e n c er e l a t i o n s
    Reflexivity: a ~ a
    *Every triangle is congruent to itself
    Symmetry: if a ~ b then b ~ a
    Transitive: if a ~ b and b ~ c then a ~c.
  • 16. <1, <5
    <2,<6
    <3,<7
    <4,<8
    Corresponding angles
    1
    2
    3
    4
    5
    6
    8
    7
    Alternate Interior Angles
    <3, <5
    <4, <6
    Alternate Exterior Angles
    <1, <7
    <2, <8
    In geometry, adjacent angles are angles that have a common ray coming out of the vertex going between two other rays.
    Ex. Of adjacent Angles
  • 17. Supplementary Angles
    A pair of angles are supplementary if their respective measures sum to 180°.
    If the two supplementary angles are adjacent (i.e. have a common vertex and share a side, but do not have any interior points in common) their non-shared sides form a line.
  • 18. Complementary Angles
    A pair of angles are complementary if the sum of their angles is 90°.
    If the two complementary angles are adjacent (i.e. have a common vertex and share a side, but do not have any interior points in common) their non-shared sides form a right angle.
  • 19. Area of Circle= πr²
    Arc length= circumference-2πr * Area/360
    Arc length=Circumference multiplied by πr² divided by 2πr
    Area of a sector= A= mAB/360 * πr²
    (
    (
    (
  • 20. What π =
  • 21.
  • 22. l- length
    b- base
    h- height
    W- width
    a- just a side
    s- side