9H Math unit 2 Flashcards
(21 cards)
Postulate
Rules accepted as true, used as basis for reasoning
Adjacent Angles
Angles that share a common vertex and side but do not share any interior point
Congruent Angles
Angles that have the same measure (drawn as equal sign with squiggle on top)
Midpoint
Midpoint divides a line segment into two equal parts
Bisector
A line bisects an angle if it divides the angle into two congruent adjacent angles
Complementary
Two angles that have a sum of 90 degrees
Supplementary
Two angles that have a sum of 180 degrees
Opposite Rays
Two rays are opposite if their rays point in opposite directions
Linear Pair
Two adjacent angles are a linear pair if their non-common sides are opposite rays
Vertical Angles
Two angles are vertical if their sides form two pairs of opposite rays
Complements of the same angle are congruent
True (theorem)
Supplements of the same angle are congruent
True (theorem) DOESN’T SAY THEY=180
The angles in a linear pair are supplementary
True (theorem) DOESN’T SAY THEY=180
Vertical angles are equal
True (theorem)
If two angles are equal they are vertical
False, converse error of theorem
Segment addition postulate
B is between A and C only if AB + BC = AC.
Protractor postulare
The rays in a half rotation can be numbered 0-180. The measure of angle AOB is equal to the absolute value of the difference between the real numbers for ray OA and ray OB.
Ruler Postulate
the points on a line can be matched one to one by a real number. The real number that corresponds to a point is called its coordinate.
Angle Addition Postulate
if P is in the interior of angle RST, then the measure of angle RSP + the measure of angle PST = the measure of angle RST.
Midpoint formula in one dimension
x1 + x2/2
Midpoint formula in two dimensions
(x1 + x2/2, y1 + y2/2)
