Parellel Lines!

What are parallel lines? Parallel lines are two lines on a plane that never meet or cross each other. When you have two parallel lines with a transverse line you form angles. You ask what is a transverse line? Transverse lines is a line that cuts through two or more lines. Below is a picture of two parallel lines with a transverse line cutting through them. 






In the picture above line m and line n are parallel. Line t is the transverse line. Because there is a transverse line it has formed angles which are 1,2,3,4,5,6,7,8.
A vertical Angle is created by intersecting lines which are pairs of angles whose sides are two pairs of oposite rays. They are the same degrees and are opposite of each other. The vertical angles in the picture above would be <1 and <4, <2 and <3, <5 and <8, <6 and <7. 
Corresponding angles can only be found with parallel lines. When two lines are crossed, by a transversal line, the angles in matching corners are corresponding. In this picture above the corresponding angles are <4 and <8, <2 and <6, <1 and <5, <3 and <7. 

Hope this helped with parallel lines and their angles!

Identifying Triangles

When Identifying a triangle it can be described by the angle, which I had discussed earlier in a previous blog, meaning acute, obtuse or right. This is not the only way to identify a triangle. Triangles can be determined by the length of its sides. There are three terms I want to teach you, scalene, isosceles, and equilateral. 

Scalene triangle is when all three sides are different lengths. 





Isosceles triangle is when at least two sides of the triangle are equal.





Equilateral triangle is when all three sides of the triangle are equal.




It is easy to remember Equilateral triangle because you pronounce equal in the word, meaning all sides are equal. Scalene makes me think of a something scaly, which means non of the sides are equal. And lastly Isosceles sounds like your saying I saw atleast, meaning at least two sides are equal. Hope this helped in remembering these three identification terms for triangles!

POLYGONS!

Here is a polygon review! 

Polygons are a simple, closed curve with sides that are line segments or in more simple terms straight lines that connect.
Here is a graph of the different types of polygon names by the number of sides they have. 





This is a great chart to keep up in your classroom for the students to refer to and memorize as the year goes by!

Angle on over here!

When it comes to Angles it can be a little tricky so I thought it would help if I explained to you the important information behind Angles in Geometry. To begin I think you might want to know what an Angle is, right? Well, an angle is formed by two rays with the same endpoint. An angle contains sides of an angle, the two rays that form an angle, and the vertex, the common endpoint of the two rays that form an angle. Below is a picture of an angle:





When it comes to the angle itself there are four different types. The first one is a right angle. A right angle consists of exactly 90 degrees. 




The next type of angle is an acute angle. An acute angle is less than 90 degrees. 




Another angle is an obtuse angle. An obtuse angle consists of being more than 90 degrees and less than 180 degrees.




The last type of angle is a straight angle. A straight angle is exactly 180 degrees.





I hope this helped you see the differences in all four different types of angles!

Line on up!!!

In class during the geometry section of Elementary Math we learned about the fundamental building blocks of geometry. One of the important building blocks in Geometry consists of lines.

What is a line? A line extends in two directions forever and is determined by two points. When you think of a line you normally just think of a line representing point A to point B like in the image below:

But there are a few more lines you need to know about! Another type of line is an Intersecting line which are lines with exactly one point in common. The picture below represents an Intersecting line.

 



Concurrent lines are are similar to Intersecting lines, but concurrent lines consist of three or more lines that intersect at the same point. Like the image below:

 


The last type of lines you should know about are parallel lines. Parallel lines are coplanar lines that have no points in common. The image below shows what they look like: 

 

 I hope this helped in digesting the one of many different building blocks in Geometry!

ABOUT ME!

About me:

    My name is Allie Shanholtzer and I am an Early Childhood and Special Education major and will be transferring to ASU in the fall. My previous major was Nursing until I realized, after volunteering at Phoenix Children's Hospital, that I wanted to be around children in a positive aspect instead of a negative one. My current employment is a Nanny for two different families. My first family is for two children ages 3 and two years old. My most recent family I just began with is for two children as well, ages 10 and 8. I love my job and everything it entails. Being around kids always put me in a good mood! My babies are two Chihuahua Dotson's Mojo (3y.o.) and Brandy (3y.o.) They are my life and I would do anything for them.

    I would say I am a very outgoing and understanding person. I love being involved in as much as I can educationally. I also love helping others in any way possible. 

Hobbies: 

    I was a cheerleader my whole life until my senior year of High School. I loved everything about being involved on a team and being athletic. I am currently involved in Code Pink Boot Camp, which is exercise outdoors including Hiking which I just love.

"Dream as if you will live forever, live as if you will die tomorrow." - James dean. This is my favorite quote, as well as my guide through life I try to follow.