Category: geometry

At the start of my winter break I was just preparing for the combine. During Christmas we had a party and opened presents. After Christmas I went back to preparing. Then New Years we watched all college football games. The next day we left for San Antonio. The first day I was there we had media day where we took a lot of pictures and got free stuff.The next was the combine. After that we got to go to the All American game for free. After that we came back to “good ole” Alabama.

Pythagorean Theorem is the sum abc. The formula is a^2+b^2=c^2. The missing side would be the c. It was easy to label them. The only part was remembering the square root.

Law of cosines is made up of 2 formulas. SSS (side side side) and SAS (side angle side). SSS is used when you are given the sides but no angles. SAS is used when you are given 2 sides and 1 angle. They both use a non-right triangle.

Lower case letters are sides. Upper case letters are angles. You use non right triangles. They are all equal to each other. They can all go together ~ a/sinA=b/sinB, b/sinB=c/sinC, a/sinA=C/sinC.

I am thankful for life.

I’m thankful for my family.

I’m thankful for what God has blessed me with.

I’m thankful for the opportunity to play the game I love.

I’m thankful for phones.

Now you would use Tan because you have to find the opp using the angle of elevation and the adj

Tan(44)=1.588

1.588 x 23= 36.524

36.524=X

Now you have find the angle of depression with Sin using hyp and opp.Sin(theta)= 16/36

Theta=0.444

First you label

7=hyp 3=opp

Sin=3/7

Sin=0.429

Theta=sin^-1(0.429)=25.404

There’s a step by step way to do it.

trigonometry ratios consist of 3 formulas. Sin= oop/hyp cos= adj/hyp tan= opp/adj. The data is the 0 with the line threw it. When you have one just plug it in and use you calculator to find the answer. For example if data is 14 and I use sin it would be sin(14)= oop/hyp. Which is 0.242.

Rotation

180 degrees counterclockwise

Times both numbers by -1

(X,y)=(-x,-y)

Example 2: A(2,1)=(-2,-1) B(3,5)=(-3,-5) C(5,5)=(-5,-5) D(6,2)=(-6,-2)

Then graph accordingly

I learned how to rotate on a graph.

I liked seeing the outcome.

I struggled with which way to go sometimes.

Linear measure

Example 1: Find BD

BC=16.8 CD=50.4

BC+CD=BD

16.8+50.4=67.2

BD=67.2

I learned what linear measurements were.

I liked the pattern that was on each one.

I struggled with the the formula sometimes.

Distance

Count the distance between 2 points on the number line or graph.

7. K(2,3) F(4,4)

Square root (4-2)^2 + (4-3)^2=2.23

I learned how to find the distance between to 2 points on a number line or graph.

I liked finding the distance between each pairs.

I struggled with the 2 formulas.

Reflections

It can be over the y axis or x axis. If it’s over the y you have to multiply x by -1. If it’s over the x you multiply the y by -1.

1. Reflection over x axis

(-3,0)=(-3,0)

(-4,5)=(-4,-5)

(-7,5)=(-7,-5)

(-6,6)=(-6,6)

I learned how to reflect using a graph.

I like to reflect over X axis more than I like to reflect over the Y axis.

I didn’t really struggle with anything on this one.