This song is available on The Trigs' [geometric]
Chorus
(We're talkin' parallel) Like two lines on a plane
No matter where you check them their distance is the same
(They got the same slope) and they don't intersect
Because them parallel lines, they are equidistant
1.
I got two parallel lines sittin' waitin' for me
To draw myself one of them transversals you see
And when I'm done I'll have a line that crosses both my parallels
My transversal has created eight different angles
I can describe each pair of angles based on where they reside
First I will go with the transversal if they're on the same side
Then they are consecutive but on the other hand
If they are not on the same side, then what we call them's alternate
2.
So then I take a look at the two parallel lines
And I decide if my two angles are both on the inside
And if they are, then they're interior, but what if they're not?
Well in that case, exterior is the label that we've got
So then we put it all together and we name our angles
Consecutive or alternate due to the transversal
The angles are interior between them parallels
But if they're outside then you've got exterior angles
3.
What's neat about this system is the pattern that you see
If your angles are consecutive they're supplementary
And if they're alternate, their measures are the same
So if we know one angle then the rest can all be named
There is one final pair that we need to talk about
When one angle is inside and the other one is out
So long as they're consecutive, these have a special name
We call them corresponding and their measures are the same
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