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 Table of Contents

Chapter 1

    Probability & Statistics

     a) Calculate Probability

     b) Probability of independent or

          Dependent Events

     c) Probability of Compound 

          Event

     d) Recognize and explain in 

           everyday   situation

Chapter 2

     Transformation

   a) Reflections

     b) Translation

     c) Rotations

     d) Slope Criteria or Parallel

         and Perpendicular Lines

Chapter 3 

   Angle Pair Relations

     a) Corresponding angles

     b) Alternate Interior angles

     c) Alternate Exterior angles

     d) Consecutive Interior Angles

Chapter 4 

   Congruent Triangles   

     a) Distance Formula

     b) Pythagorean Theorem

     c) ASA Theorem 

     b) SSS Theorem

     c) SAS Theorem

 Chapter 5

   Similar Triangles & Trigonometry

     a) AA similarity postulate

     b) Special right triangles

     c) SOH-CAH-TOA

     d) Indirect measurement methods

     e) Dilations

Chapter 6

   Polygons

     a) Rectangles

     b) Triangles 

     c) Your Choice 1

     d) Your choice 2

Chapter 7

   3-D Geometry

     a) Cavalereis Principle

     b) Platonic Solids

     c) Volume of Prisms/Pyramids

     d) Surface Area/Nets

Chapter 8

   Circles

     a)Similar Circles 

     b) Center of Rotations

     c) Center of Dilations

     d) Angles Formed in Circles

Probability-the extent to which an event is likely to 

occur. 

-Ex. What is the monkey on page 8 most LIKELY to 

choose ? The banana's or the watermelon's?

-The probability of the monkey choosing the banana's 

is a higher possibility than the watermelon's because 

the banana's have a higher number of quantity than 

the watermelon's. which the probability of the 

monkey choosing the banana's over the watermelon's 

is 14 over 5. So the banana's have 8 more possibility 

being chosen rather than the watermelon.

Statistics- The practice or science of collecting and 

analyzing numerical data in large quantities, 

especially for the purpose of inferring proportions in a 

whole from those in a representative sample.

-Ex. So it is how much info can we get out of the the 

picture on page 8. It shows how many banana's and 

watermelon's does the monkey have around him and 

what the probability will be for him to choose the 

banana's.

A compound event is two different objects that have 

different probabilities when you put them together.

-Ex. You have 4 red marbles and 2 yellow pencils and 

you put all those objects in a bag that is not see 

through. What is the probability of you choosing 1 red 

marble rather than choosing one of the 2 yellow 

pencils? 

That is a compound event something that has 2 

different objects that have a different probability.

enter text here

Angle pair relations-Angle pair relations are each of the 

pairs of opposite angles that are made of two 

intersecting lines.

ex-

Congruent triangle-When two triangles are congruent 

they will have exactly the same three sides and exactly 

the same three angles. 

-Ex. The sides of a flag only if they are congruent than 

no matter if the flag is flipped or rotated than the sides 

will always be there and stay the same. 

-Ex. So no matter which way 

the flags are facing the sides

of the flag would always be 

the same.

 Alternate Exterior Angles- two angles that are on 

opposite sides of the transversal which lie on 

different parallel lines.

Distance Formula- Used to determine the distance, d, 

between two points. If the coordinates of the two points 

are (x1, y1) and (x2, y2), the distance equals the 

square root of x2 − x1 squared + y2 − y1 squared.

-Ex. So we would use distance formula to FIND the 

distance from the flag to the floor in order to duplicate 

the flag to make 2 flags that have the same length 

poles. 

Pythagorean Theorem- Is a relation in Euclidean geometry 

among the three sides of a right triangle.

-Ex. There are 3 sides to a triangle labeled A, B, C. When 

using the pythagorean theorem you use it only when you are 

looking for a missing side. While you are looking for the 

missing side you have to square the A, B, C because you are 

looking for one side and you have to use another triangle so 

the formula you would be using is a2+b2=c2. The A side is the 

smallest side. The B is the OPPOSITE from C. The C is the 

HYPOTENUSE.    

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