Shared Flashcard Set

Details

Geometry Proof Reasons
gometry proof reasons
33
Mathematics
10th Grade
10/03/2011

Additional Mathematics Flashcards

 


 

Cards

Term
Acute Angles
Definition
An angle with a degree measure less than 90.
Term
obtuse angles
Definition
An obtuse angle is one that is greater than 90 degree's, but less than 180 degree's.
Term
right angles
Definition
An angle with a degree measure of 90.
Term
straight angles
Definition
An angle with a degree measure of 180.
Term
complementary angles
Definition
either of two angles that added together produce an angle of 90°.
Term
supplementary angles
Definition
either of two angles that added together produce an angle of 180°.
Term
congruent angles
Definition
Angles are congruent if they have the same angle measure in degrees.
Term
congruent segments
Definition
having the same measure of segments
Term
midpoint of a segment
Definition
the point on a segment exactly halfway between the endpoints of the segment.
Term
segment bisector
Definition
A segment, line, or plane that intersects a segment at its midpoint.
Term
angle bisector
Definition
A ray that divides an angle into two congruent angles.
Term
perpendicular lines
Definition
Lines that form right angles.
Term
Reflexive Property of congruence
Definition
A quantity is congruent (equal) to itself.
Term
Symmetric Property of Congruence
Definition
If a = b, then b = a.
Term
Transitive Property of Congruence
Definition
If a = b and b = c, then a = c.
Term
Substitution Property
Definition
The substitution property of equality states that for any real numbers a and b if a = b then a can be substituted for b.
Term
Line Postulate
Definition
A line contains at least two points.
Term
plane Postulate
Definition
A plane contains at least three noncollinear points.
Term
Line in Plane Postulate
Definition
If two points lie in a plane, then the line joining them lies in that plane.
Term
Intersection Lines Postulate
Definition
If two lines intersect, then they intersect in exactly one point.
Term
Intersecting Planes Postulate
Definition
If two planes intersect, then their intersection is a line.
Term
Segment Addition Postulate
Definition
states that if B is between A and C, then AB + BC = AC.
Term
Angle Addition Postulate
Definition
Angle Addition Postulate states that if a point S lies in the interior of ∠PQR, then ∠PQS + ∠SQR = ∠PQR.
Term
Right Angle Pair Postulate
Definition
All right angles are congruent.
Term
straight Angle Pair Postulate
Definition
All straight angles are congruent.
Term
Theorem: All right angles are congruent
Definition
True
Term
Theorem: Vertical angles are congruent
Definition
True
Term
Supplementary angle theorem
Definition
2 angles add up to 180.
Term
Complementary angle theorem
Definition
2 angles add up to 90.
Term
Multiplication
Definition
If a = b then ac = bc.
Term
Division
Definition
If a = b and c ≠ 0 then a/c = b/c.
Term
Addition
Definition
If a = b then a + c = b + c.
Term
Subtraction
Definition
If a = b then a – c = b– c.
Supporting users have an ad free experience!