Lesson

Vocab

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1

Lines- Look at Vocal to see how to classify

To find missing angles remember lines are equal to 180 degrees. Look at each line intersection and think how can I make the angles all add up to 180 degrees.  

Ratio triangle problems

The measures of the angles in triangle ABC are in the ratio of 3:5:2 What are the Measures of the angles

We know that all the interior angles of triangles add up to 180 degrees so to solve we must

3x+5x+2x=180

10x=180

x=18

put x back into the angles

3x=54

5x=90

2x=36

Parallel Lines- 2 lines Never intersect 

Perpendicular- 2 lines the form right angles.

Transversal-Aline that intersects 2 or more lines where 8 angles are formed.  

Interior angles inside 4 angles 

Exterior angles outside 4 angles

Alternate interior angles inside angles opposite of transversal

Alternate exterior angles outside angles opposite of transversal

Corresponding angles. Angles that would line up if you cut transversal and shift intersections on top of each other

http://www.what2learn.com/home/examgames/maths/angles2/

https://www.mathsisfun.com/geometry/parallel-lines.html

https://www.khanacademy.org/math/basic-geo/basic-geo-angles/basic-geo-angle-relationships/v/complementary-and-supplementary-angles

https://www.youtube.com/watch?v=mLeNaZcy-hE

2 Geometric Proof

3  Angles of Triangles.

Triangles have 3  interior angles that add up to 180 degrees,

To find an exterior angle add the 2 non adjacent interior angles not right next to the angle you are trying to find.  

if two angles in a triangle are 50 and 30 to find the other angle subtract add the two known angles and subtract from 180

180-50-30=100

Triangle is a figure with 3 lines that intersect at their end points.  

Exterior angles of a triangle- the measure of an exterior angle of a triangle is equal to the sum of the measure of its two remote interior angles.

4  Polygons and Angles

interior angle sum:

The same of the measures of the interior angles of a polygon is (n-2) 180 where n represents the number of sides

INTERIOR angles

To find the same of the measures of interior angles of a decagon  use the equation 

some of all interior angles= (number of sides minus 2 ) times 180

(10-2)180=1440

to find just one divide that number by number of sides

1440/10=144 

EXTERIOR ANGLES

All polygons have exterior angles with the sum of 360.

So to find one angles do 360 divided by number of sides.  

Decagon (10 sides)

360/10=36

http://media2.k12.sd.us/V/wt013/33010

5

http://www.mathsisfun.com/activity/pythagoras-theorem-shoes.html Activity

http://www.shodor.org/interactivate/lessons/PythagoreanTheorem/

6

Distance Formula

http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/v/distance-formula