Semester Exam Review Flashcards
Coordinate
The real number that corresponds to a point
Distance
The absolute value of the difference of coordinates of A and B
Between
When 3 points are collinear one point is between the other 2
Construction
A geometric drawing that uses a limited set of tools usually a compass and a straight edge
Adjacent angles
Two angles that share a common vertex and side but no common interior points
Conditional statement
A logical statement that has two parts: hypothesis and conclusion
Negation
Opposite of the original statement
Converse
If q then p
Inverse
If not p then not q
Contra positive
If not q then not p
Biconditional statement
If and only if
Conjecture
Based on observations
Vector
Has direction and size, arrow from one point to another
Component form
Horizontal then vertical component of vector
Reflection in x axis
(a,-b)
Reflection in y axis
(-a,b)
Reflection in y=x
(b,a)
Reflection in y=-x
(-b,-a)
Enlargement
K is greater then 1
Reduction
K is less than one
Scalene triangle
No congruent sides
Isosceles triangle
At least two congruent sides
Equilateral triangle
3 congruent sides
Acute triangle
3 acute angles
Right triangle
1 right angle
Obtuse triangle
1 obtuse angle
Equiangular triangle
3 congruent angles
Legs
2 congruent sides of an isosceles triangle
Vertex angle
Angle formed by legs
Base
Non congruent side of isosceles triangle
Base angles
2 angles adjacent to the base of an isosceles triangle
Circumcenter made of
Perpendicular bisectors
Circumcenter distance
Equidistant from vertices
Incenter made of
Angle bisectors
In center distance
Equidistant from sides
Centroid made of
Medians
Medians
Connects vertex to opposite midpoint
Centroid distance
2/3 to vertex 1/3 to midpoint
Orthocenter made of
Altitudes
Altitude
Vertex to opposite side (perpendicular)
Postulate or axiom
A rule that is accepted without proof