Brown Module 6 Vocabulary Quiz

Perpendicular Bisector

Any line segment, or ray that passes through the midpoint of a segment and is perpendicular to that segment

Concurrent Lines

Three or more lines that intersect at a common point

Point of Concurrency

The point of intersection of concurrent lines

Circumcenter

The point of concurrency of the perpendicular bisectors of the sides of a triangle

Angle Bisector

A ray or segment that divides an angle into two congruent angles

Incenter

The point of concurrency of the angle bisectors of a triangle

Median

A line segment with endpoints that are a vertex of the triangle and the midpoint of the side opposite the vertex

Centroid

The point of concurrency of the medians

Altitude of a Triangle

A segment from a vertex of the triangle to the line containing the opposite side perpendicular to that side

Orthocenter

The point of concurrency of the altitudes

Indirect Reasoning

Reasoning that eliminates all possible conclusions but one so that the one remaining conclusion must be true

Indirect Proof

One assumes that the statement to be proven is false and then uses logical reasoning to deduce that a statement contradicts a postulate, theorem, or one of the assumptions

Proof by Contradiction

One assumes that the statement to be proven is false and then uses logical reasoning to deduce that a statement contradicts a postulate, theorem, or one of the assumptions

What is the Comparison Property of Inequality

For any two real numbers, if one is greater than the other, then the other cannot be greater than the first, and vice versa

What is the transitive Property of Inequality

if 'a' less than 'b' and 'b' is less than 'c', then 'a' is less than 'c'.

What is the Addition Property of Inequality

If you add the same quantity to both sides of inequality, the inequality remains true

What is the Subtraction Property of Inequality

If you subtract the same number from both sides of an inequality, the inequality remains true

What it the Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side