3.1-3.4
what is inductive reasoning
uses patterns of examples or observations to make a general conclusion
What is a ruler postulate?
The points on any line or line segment can be put into 1:1 correspondents with real numbers.
what are parallel lines
co planar lines that do not intersect
the slope
If given a line and a point not on the line, how many lines exist to go through the point that is perpendicular to the given line?
one line
what is deductive reasoning
uses general facts, rules, definitions, or properties to reach specific valid conclusions
give an example of the transitive property or explain it
if AB=CD and CD=EF then AB=EF
explain a transversal
line that intersects 2 or more lines
write an equation for ; m=4 ; through the point (4,3)
y=4x-13
Perpendiculars and Distance: What is the 1st and 2nd step to find the distance of a line and a point?
The 1st step would be to write the equation of the line, the 2nd would be to write the equation of the perpendicular line
what is a compound statement
two or more statements joined by the word "and" or "or"
if AB=CD then CD=AB
symmetric property
what is a skew line
lines that do not intersect and are noncoplanar
write an equation for a line that passes through (-2,4) and (2,-2)
y=-3/2x+1
What is the distance formula used in this topic to find the distance between a line and point
d= the square root of (x2-x1)2+(y2-y1)2
what is a conjecture
educated guesses made on known information and specific examples
what postulate is the angle addition postulate
3.11
if a set of parallel lines are cut by a transversal, then the alternate exterior angles are ________
congruent
write an equation for a line that goes through the points (4,-2) and is parallel to the line 1/2x-2y=2
y=1/4x-3
What is the distance of the parallel lines, y=2x-8 and y=2x+8
d=8.94
what are postulates and axioms
statements accepted as true without proof.
explain the supplement theorem
if 2 angles form a linear pair, then they are supplementary angles.
what do pink arrows indicate
parallel lines
write the equation of a line that goes through (-3,2) and is perpendicular to the line y=-3x+1
y=1/3x+3
what is the distance between the line, y=2/3x-3 and the point (2,1)
d=2.24