vocab Unit 1
line segment
a portion of a line consisting of two points and all the points between them
Through any three _____ ______ there is exactly one plane (Postulate 1.2B)
noncollinear , points
reasoning
the act of forming conclusions based on available information
Choose the correct number to continue the pattern.
2, 4, 8, 16, 32, 64, _____
128
undefined terms
terms used to describe basic geometric figures that are fundamental to all other geometric figures and, as such, cannot be defined by using other geometric terms
If three points A , B , and C are _____ , and B is between A and C , then AB+BC=AC . (the Segment Addition Postulate)
Collinear
definition
a biconditional statement that is used to describe a geometric object or concept
Choose the correct number to continue the pattern.
1, 3, 6, 10, 15, 21, 28, _____
36
differential geometry
geometry that uses calculus to study how geometric functions respond to changing variables
Which is the best definition for adjacent angles?
two angles that share a common vertex and one common side but have no common interior points
proof
an argument that uses logic in the form of definitions, properties, and previously proved principles to show that a conclusion is true
True or False: the process of reasoning that a rule, condition, definition, property, or statement is true because specific cases have been observed to be true is deductive reasoning.
False
construction
a method of creating a geometric figure that is mathematically precise by using a compass and straightedge
In 1988, Galena Christyakova set the women's long jump record of 7.52 meters. In 1991, Mike Powell set the men's long jump record of 8.95 meters. How much farther (EF) would Galena have to jump in order to tie Mike's record?
1.43 meters
expression
a number, symbol, or group of numbers and/or symbols with their operations used to express some mathematical fact, quantity, or value
Which property of congruence is illustrated?
For any geometric figures A and B , if A≅B , then B≅A
Symmetric
ordered pair
the set of coordinates that indicates the position of a point on a coordinate plane
Jamal has run 7 miles from point A to point B of a race. The entire race from point A to point C is 26 miles. How many more miles will he run to complete the race?
19 miles
contrapositive of a conditional statement
a related conditional statement resulting from the exchange and negation of both the hypothesis and conclusion of a conditional statement
Which property is illustrated?
If ΔA≅ΔB and ΔB≅ΔC, then ΔA≅ΔC
Transitive Property of Congruence