Proof Postilates and Properties and vocab Flashcards
(44 cards)
Commutative property of addition
a+b=b+a
Commutative property of multiplication
ab=ba
Associative property of addition
(a+b)+c=a+(b+c)
Associative property of multiplication
(ab)c=a(bc)
Distributive property
A(b+c)=ab+ac
Reflective property
a=a
Transitive property
a=b b=c
Addition property of equity
a=b a+c =b+c
Symmetric property
a=b b=a
Subtraction property of equity
a=b a-c=b-c
Multiplication property of equality
a=b ac=bc
Division property of equity
a=b a/c b/c provided c dowse not = 0 also If a=b and b=c then a/c=b/d provided that c or d does not = 0
Square root property
A^2 = b then a=+-b square rooted
Zero product property
ab= 0 then a=0 and/or b0
AIA
When two lines are crossed by another line (which is called the Transversal), the pairs of angles. • on opposite sides of the transversal. • but inside the two lines. are called Alternate Interior Angles.
Altitude
An altitude of a triangle. An altitude is a line which passes through a vertex of a triangle, and meets the opposite side at right angles. A triangle has three altitudes. … The length of a perpendicular from a side of the triangle to the opposite vertex.
Angle bisector
An altitude of a triangle. An altitude is a line which passes through a vertex of a triangle, and meets the opposite side at right angles. A triangle has three altitudes. … The length of a perpendicular from a side of the triangle to the opposite vertex.
Congruence
In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects. Two line segments are congruent if they have the same length. Two angles are congruent if they have the same measure.
C.A.
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.
Iscosolise triangle
A triangle with two congruent sides and both base angles congruent
Linear pair
Definition. A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.
Midpoint
Midpoint of a line segment. Definition: A point on a line segment that divides it into two equal parts. The halfway point of a line segment.
Parollelagram
a four-sided plane rectilinear figure with opposite sides parallel.
Perpendicular
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.
