Parts of a Circle

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Chapter 8 Review

8.1 

This chapter I've learned about how to differentiate convex and concave polygons. I've learned about how to classify them within equilateral, equiangular, and by regular meaning it is both equilateral and equiangular.
                                                                              8.2                                                    

I've also learned how to measure the exterior and interior angles.

     m<1 + m<2. . . + m<n = (n-2) * 180  

8.3 

In this chapter I learned how to find the area of squares and rectangles.

     square - A=S(squared)

     rectangle A=(base)(height)

8.4

This chapter was all about finding the area of triangles, not that hard - it's the same formula just multiply it by 1/2.

     A=1/2(base)(height)

                                                                               8.5

In this chapter we explored more about finding areas... Only now it's the area of parallelograms.

     A=(base)(height)

8.6

Again we learn about areas, this time it is area of trapezoids. 

     A= 1/2(height)(base 1 + base 2)

8.7

This chapter we slightly changed (still finding areas) we learn about the circumference and area of a circle. 

     A= (Pi)(Radius - Squared)

     C=(Pi)(Diameter) or C=(Pi)(Radius - squared) 

7.1 - 7.3 Study Guide

7.1

Ratios:

• A Ratio is a comparison of a number a and a nonzero number b using division. They can be written in Four different ways. Ratios are usually written in Simplest form. 

Proportions:

• An Equation  that states two ratios are equal is called a Proportion. In a proportion the numbers b and c are called the Means of the proportion. The number a and d are called the Extremes of the proportion.  

Cross Product Property:

• In a proportion the product of the extremes  is equal to the product of the means. 

7.2

Similarity:

• Two figures that have the same Angles are Congruent  AND corresponding side lengths are Proportional THEN two polygons are Similar Polygons.  

Scale Factor:

• If the two polygons are similar THEN the ratio of the lengths of two Corresponding sides is called the Scale Factor. 

Determining Similarity:

1. Check that corresponding angles are Congruent.
2. Check whether corresponding side lengths are Proportional.

7.3

Angle-Angle Similarity Postulate:

• If two angles of one triangle are Congruent to two angles of another triangle THEN the two triangles are Similar

Postulate vs. Theorem

• Come up with THREE things that you believe strongly                                                                                                                                                                                                                   1. Basketball is fun (Theorem)

Many watch it on tv.

Many people play it.

People dream about making it to the nba.

Because you make money.                                                                                                                                                                                                                                                                                                        2. Soccer is a great sport (Theorem)

The most watched sport on tv.

People want to become the best. 

They want to make money.

Better life.

           3. People love food (Theorem/Postulate)

People eat it. 

God put it on the earth to eat.  

You need it to live.

Nutrition. 

Keeps you healthy. & It taste really good.

• Create a statement and reason
• Decide if this belief is a theorem or postulate 
• write a response to each

1. The difference between a theorem and postulate is that a theorem can be proven by facts and a postulate is just accepted and cannot be proven. It just is. In my life theorems and postulates just model my actions. Its just what i did. 

Hour of Code

This week's project was really one of the weirdest and most confusing projects I have ever been told to do.  But at the same time, challenging and fun. It was new at first and when i opened the website thought it was the wrong address because it looked like a child's website but I was wrong (unless those children are like super super smart). The thing that was most challenging was trying to remember all of the different patterns and rules that i learned...not even three slides before. I learned overtime how to use reasoning and remember patterns. I enjoyed the game, like winning the game. Not drowning or hitting the walls. But the surprise thing was that, that really helped my understanding of  how Reasoning works.

This Year

Three things I have learned this year is:

1. How to work for the things i want.
2. How to manage  my time wisely. 
3. What commitment really means, not only for school but with extra curricular activities. 

My favorite thing from math is always having something new to learn every day and being held to a standard that never changes, and if one day your "off your game" and mess up, your always forgiven.
One thing that could make this class better is having more of a quiet enviornment.
One thing im always proud of is the work i turn in.

Cut By a Transversal

Parallel Lines                           Non-Parallel Lines:

        Not having parallel lines and splitting them with a transversal would throw off your data. You'd think that something would be true when it's not. You would be able to use the Theorems with regular parallel lines but when they aren't parallel you don't know what formulas to use, if any! Using parallel lines just simplify all your work. While Non-Parallel line make them more difficult than it should be.