R-54 Transversals

R-54 Transversals





















Things we notice:

-appear the same degree
-could make angles-which are sturdy.
-maybe ,'s a + b arent equal to b + c
-a + b+ c+ d= 360
-looks like a previous strategy when we broke off the corners and made a circle of 360

Supplementary<'s=180
1. a and b
2. c and d
3. a and d
4. c and b

Are a and c equal? Are d and b equal?

-Some think a and c equal each other, but they are not supplemental.

Can you prove a=c and b=d?

Math sentence
a+b=180
c+d=180
a+d=180
c+b=180

How can you use these mathematical sentences to prove that a=c and d=b? 

 Idea:
a+b=c+d

 Idea:
c+d=180
a+d=180
so 
c+d=a+d
c=a 
How does this idea make sense? 

Big Idea: 
These are your supplementary angles
a=c
b=d
we can prove it! 

 R-55

What do you think a,b, and c is? How can you justify it?
180-150=30 degrees
a and c are both equal to 30.
4 angles equals 360 degrees. If you add them all together and subtract them it equals 180
150+30+30=210+150=360

The shape in the middle is a parallelogram.

How is that helpful to us?
I know its a quadrilateral, 2 sets of parallel lines, 2 angles the same and opposite of each other.

60/2=30+30 (there were 2 equal angles left)

How do I now know that m is 30?
l=150
n=150
210+150=360


L-55
What observations can you make about the relationships between angles with a transversal?

-With a transversal through parallel lines, the opposite angles and are always going to be equal.
- All angles in a circle=360
-adjacent (<'s next to each other) <'s=180)
-Exact same number of 150's as there are 30's
-You can make the exterior angles in there to represent 180.

Projects due tomorrow. Justifications are due on Friday.