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
Perpendicular segment from a vertex of a triangle to the line containing the side opposite the vertex
Altitude
Segment that has endpoints at a vertex and the midpoint of the side opposite the vertex
Median
Term that describes 3 or more lines that intersect at a single point
Concurrent
When a circle passes through the 3 vertices of a triangle
Circumscribed
Intersection point of 3 angle bisectors of a triangle
Incenter of a triangle
When a circle touches the 3 sides of a triangle
Inscribed
Polygon with 6 sides
hexagon
Polygon with 7 sides
heptagon
Polygon with 9 sides
nonagon
Polygon with 10 sides
decagon
Polygon with 12 sides
dodecagon
A quadrilateral with only 1 pair of opposite angles parallel and the other pair of opposite sides congruent
Isosceles trapezoid
A quadrilateral with 2 pairs of opposite sides parallel
Parallelogram
A quadrilateral with only one pair of opposite sides parallel
Trapezoid
A quadrilateral that is both a rectangle and rhombus
Square
A quadrilateral with 4 congruent sides
Rhombus
A quadrilateral with 4 right angles
Rectangle
A quadrilateral with 2 pairs of congruent consecutive sides
Kite