Proofs Flashcards
When 2 values are equal
Transitive Properties
How many degrees in a straight line?
180° (Supplementary angles)
F theorem
Corresponding angles (only if parallel)
Z theorem
Alternate interior angles (only if parallel)
2 exterior angles on opposite sides
Alternate exterior angles (top of Z theorem) (only if parallel)
C theorem/ straight line
Supplementary/ Adds up to 180° (only if parallel)
Number of triangles
Is the number of sides(n) minus 2
n-2
Sum of all interior angle measures
Is the number of triangles multiplied by 180°
Measure of each individual interior angle (regular)
Sum of angle measures divided by the number of sides
180° x (n-2)
–––––––––––
n
Side,Side,Side
1 triangle, as long as the 2 smaller sides add up to more then the larger side
Side, Angle, Side
1 triangle
Angle, Angle, Angle
Infinite number of similar triangle
Angle, Angle, Side
2 triangles if the side(a) is bigger than hight, and smaller than side(b)
0 triangles if side(a) is shorter than height
1 triangle if side(a) is bigger than side(b)