Unit 1
A point, ray, line, line segment, or plane that intersects the segment at its midpoint
The statement formed by exchanging both the hypothesis and conclusion of a conditional statement
What is a converse statement?
Lines that do not intersect and are noncoplanar
What are skew lines?
A transformation that moves every point of a figure the same distance in the same direction
What is a translation?
A triangle with at least 2 congruent sides
What is an isosceles triangle?
Two adjacent angles whose noncommon sides are opposite rays
What is a linear pair?
The statement formed by negating both the hypothesis and conclusion of a conditional statement
What is an inverse statement?
A theorem/postulate that states if two lines are cut by a transversal, and the corresponding angles are congruent, then the two lines are parallel
What is the Corresponding Angles Converse?
A quantity that has both direction and magnitude
What is a vector?
The theorem that states if two sides of a triangle are congruent, then the angles opposite them are congruent
What is the Base Angles Theorem?
Two angles whose sides form opposite rays
What are vertical angles?
A statement that contains the phrase "if and only if"
What is a biconditional statement?
The length of the perpendicular segment from the point to the line
What is the distance from a point to a line
A line of reflection that maps the figure onto itself
What is the line of symmetry?
The theorem that states that two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle
What is the Side-Angle-Side Theorem?
Points that lie on the same plane
What are coplanar points?
A specific case that proves a conjecture false
What is a counterexample?
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line
What is the Perpendicular Transversal Theorem (PTT) ?
The original figure before a transformation
What is the preimage?
A triangle with 3 congruent angles
What is an equiangular triangle?
Two angles that share a common vertex and side, but have no common interior points
What are adjacent angles?
A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument
What is deductive reasoning?
A segment that represents moving from point A to point B
What is a directed line segment?
A transformation that preserves length and angle measures
What is a rigid motion?
The theorem that states the acute angles of a right triangle are complementary
What is the Corollary to the Triangle Sum Theorem?