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~ Probability is the measure of how likely an event is to 

occur out of the number of possible outcomes. 

~ Calculating probabilities allows you to use logic and 

reason even with some amount that's misgiving. 

~ Also find out how you can do the math when you 

calculate probabilities.

ex: the dice is shacked and thrown the dice has six 

sides , but 1 of each numeral so in this case the dice 

would be 1/6

 By ; Veronica Alvarez 

When you're dealing with Independent and Dependent Events, 

it's important to know that dependent events are affected by 

previous events, while independent events are not. 

Independent events = number of ways it can happen 

                                 _________________________

                                  Total Number of Outcomes 

Dependent Events = P(1st event) = # of your event

                                                     ____________

                                                     total outcome 

If one or both events are affected by the change in an event, it's 

a dependent event. 

Ex: when you take marbles from a bag, the probability continues 

changing to less. That is dependent. 

An example of an independent event would be a coin toss. No 

matter how many times it lands on Heads, the probability will 

always be 50/50 

Two or more events are known as Compound Events. We calculate 

the probability of two events by multiplying the chances.

P(A U B)= P(A)+P(B) - P(A n B) 

First, you get the Event A and/or Event B. (The U means or) Next, 

you get the probability of A and add it with the Probability of B. Last, 

subtract your answer with the probability of A and B. ( n means 

and.)

Have you ever thought why it's unlikely to get, say, 7 heads in a row 

for a coin toss if the chances are 1/2? When dealing with compound 

events, we are asking two questions and solving for one answer. 

First you'll figure out the probability of landing 7 heads in a row.

If you land 6 heads in a row, what's the chances of landing another 

Head? 1/2. The previous tosses don't accept the current ones. 

We use statistics in our everyday life. For 

example, when I go to the store every 

morning what are the chances of me getting a 

specific flavored coffee out of three options. 

The store offers coffee, vanilla coffee, and 

mocha. The probability of choosing only a 

single flavor is 1 out of three. The 1 would 

equal to the number of outcome and the 3 is 

out of how many. 

Reflection is a real simple action   one type of 

transformation that uses a line that acts as a mirror, the 

image is then reflected over the line. After the 

reflection, you have your pre-image, which is the image 

you started with, and image', which is the picture that 

was reflected. 

When you're reflection an image, there is something 

called a "Mirror Line" that helps reflect the shape. 

The reflection has the same size as the first image, the 

only difference is that it's flipped over. 

For example, when you take selfies on your phone the 

picture is the same only flipped. 

Rotation means turning around a center. 

When you rotate a shape, you need to know if you 

are being asked to turn 90, 180, or 360 degrees. 

- you can start by drawing a perfect square 

- make sure you use a piece of tracing paper laid over 

graph paper  

-use edges of a ruler to draw parallel lines 

-use protractor to get an 90 degree angle 

When dealing with corresponding angles, if the lines being 

used are parallel, then the angles are equal. 

also corresponding angles are occurred when two lines are 

crossed by another line. 

Corresponding Angles can apply to either two polygons and 

parallel lines by a transverse. 

For example in the picture on the left page is taking action 

of a corresponding angles which is showing three 

toothbrushes and one of the lines are intersecting both 

straight lines and in between where the two black arrows 

are at is showing us corresponding angles , angles at the 

same position 

In this example, these are Alternate Interior Angles: 

- C and F are Alternate Interior Angles

- D and E are also Alternate Interior

Angles

In the example at the left page:

- A and H are Alternate Exterior Angles

- B and G are also Alternate Exterior Angles

In this example, these are Consecutive Interior Angles:

- D and F are Consecutive Interior Angles

- C and E are also Consecutive Interior Angles

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