Classifying angles
An angle with a magnitude greater than that of a right angle but less than that of a straight angle.
What is an obtuse angle?
Triangle where all angles are acute.
What is an acute triangle?
A declarative sentence that is either true or false.
What is a statement?
the opposite of a statement
What is the negation?
The first postulate.
two points determine one unique straight line
Two angles that combine to form a right angle.
What are complimentary angles?
Triangle with no congruent sides
What is a scalene triangle?
DAILY DOUBLE
using facts and evidence to arrive at conclusions
What is reasoning?
An example that proves a universal statement false
What is a counterexample?
The second postulate.
the shortest distance between two points is a line segment
Lines that intersect to form right angles
What are perpendicular lines?
in a right triangle, it is the side across from the right angle.
What is the hypotenuse?
Observing specific cases and then generalizing to all cases.
What is inductive reasoning?
An if-then construction of a logical statement.
What is a conditional statement?
The third postulate.
A circle may be drawn with any point as its center and with any line segment as its radius.
formed when the angles of a linear pair are congruent
What is a right angle?
DAILY DOUBLE
the line segment within a triangle joining the vertex of triangle to the midpoint of the opposite side.
What is the median?
What are premises?
A statement that combines a conditional statement and its converse
What is a biconditional statement?
the fourth postulate.
A figure may be translated, reflected, or rotated without changing its size or shape.
a pair of non-adjacent angles formed when two lines intersect
What are vertical angles?
the segment (within a triangle) from a vertex such that it is perpendicular to the line containing the opposite side
What is the altitude?
A step-by-step logical argument with a complex reasoning process including statements, premises, and a sound conclusion.
What is a proof?
Statements in a different form that always have the same truth value.
What are equivalent statements?
The fifth postulate.
Exactly one line may be drawn parallel to a given line through a point not on that given line.