Geometry semester 1 final Flashcards
what is conditional
p -> q
what is converse
q -> p
what is inverse
~p -> ~q
what is contrapositive
~q -> ~p
Property of a=a
Reflexive
Property of a = b and b = a
Symmetric
Property of a = b and b = c then a = c
Transitive
Property of a = b then a + c = b + c
Addition
Property of a = b then a - c = b - c
Subtraction
Property of a = b then a(c) = b(c)
Multiplication
Property of a = then a/c = b/c
Division
Property of a = c and b = a then b = c
Subsitution
Property of a(b + c) = ab + ac
Distribution
Slopes if parallel
The same
Slopes if perpendicular
Negative reciprocal
CPCTC
Corresponding parts of congruent triangles are congruent
Equilateral triangle
All sides are congruent
Isosceles triangle
2 sides are congruent
Scalene triangle
No sides congruent
Point of congruency of the perpendicular bisectors of a triangle
Circumcenter
Point of congruency of the angle bisector of a triangle
Incenter
Point of congruency of the altitudes of a triangle
Orthocenter
Point of congruency of the medians of a triangle
Centroid
The point of intersection of 3 or more lines
Point of concurrency