POINTS, LINES, PLANES & CONJECTURES
A flat surface extending infinitely in all directions is called what?
A plane
A part of a line with two endpoints is called a what?
Line segment
The shortest distance between two points is always what?
A straight line
A point exactly halfway between two endpoints is called what?
Midpoint
The segment that divides another segment into two congruent parts is called?
Perpendicular bisector
Points that lie on the same line are called what?
Collinear
Two points define a unique what?
Line
Formula used to find distance between two points on a coordinate plane?
Distance formula
Formula for the midpoint of (x1,y1)(x_1, y_1)(x1,y1) and (x2,y2)(x_2, y_2)(x2,y2)?
((x1 + x2)/2 , (y1 + y2)/2)
A transversal line intersects two parallel lines; the angles on the same side of the transversal inside the lines are called?
Same-side interior angles
A statement made based on observations or patterns is called?
Conjecture
A conditional statement is written in what form?
If p, then q
Deductive reasoning uses what to form conclusions?
Facts, definitions, or rules
A ray that divides an angle into two congruent angles is called?
Angle bisector
True or False: Two planes can intersect in more than one line.
False
An example that proves a conjecture false is called?
Counterexample
The “if” part of a conditional is called?
Hypothesis
Law stating if p→qp \rightarrow qp→q and q→rq \rightarrow rq→r, then p→rp \rightarrow rp→r?
Law of Syllogism
Angles that sum to 180° are called what?
Supplementary angles
"If x = 2, then 2x = 4” is an example of what?
Conditional statement
The intersection of two planes forms what geometric object?
A line
A statement that is true in both directions is called?
Biconditional
Which reasoning type guarantees a true conclusion if used correctly?
Deductive reasoning
Opposite angles formed by intersecting lines are called?
Vertical angles
Inductive reasoning differs from deductive reasoning because it starts with what?
Specific examples/patterns to form a general rule