Segment congruence is reflexive, symmetric, and transitive
100
Vertical angles are ___
Congruent
100
State the Ruler Postulate
The distance between points A and B, written as AB, is the absolute value of the differance of the cordinates of A and B
100
Midpoint Formula
m= x1 + x2 | y1 + y2
--------- | ---------
2 | 2
100
Definition of a point
A point has no dimension. It is represented by a dot
200
What theorem is this?:
If two angles are complementary to the same angle (or to congruent angles), then they are congruent
Congruent Complements Theorem
200
If two angles of one triangle are congruent to two angles of another triangle, then the ___ angles are also congruent
thrid
200
FILL IN THE BLANK: Through any _____ noncollinear points there exists exactly one plane
three
200
Distance Formula
AB = √(x2 - x2)2 + (y2 - y1)2
200
Coplaner points
points that lie on the same plane
300
State the Corresponding Angles Converse Theorem
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel
300
If a traversal is perpendicular to one of two _____ lines, then it is perpendicular to the other
parallel
300
State the Perpendicular Postualate
If there is a line and a point not on the line, then there is exactly one line though the point perpendicular to the given line.
300
Transitive Property of Equality
For any real numbers a, b, and c, if a = b and b = c, then a = c
300
Definition of a midpoint
the point that divides the segment unto two congruent statments
400
State the Angle-Angle-Side (AAS) Congruence Theorem)
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent
400
If the hypotenuse and a leg of a ___ triangle are congruent to the hypotenuse and a led of a second ___ triangle, the the two triangles are congruent
right, right
400
State the Side-Side-Side (SSS) Congruence Postulate
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent
400
Slope-intercept form
y = mx + b
400
ADJACENT ANGLES
two angles that share a common vertex and side, but have no common interior points
500
What is this theorem? :
The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side
Concurrency of Medians of a Triangle
500
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is ___ as long as that side
half
500
FILL IN THE BLANK: If two sides and the _____ angle of one triangle are congruent to two side and the ______ angle of a second triangle, then the two triangles are congruent
included, included
500
Standard form
Ax + By = C
500
median of a triangle
a segment from a vertex to the midpoint of the opposite side