Chapter 1

Segment: or line segment is part of a line consisting of two points and all points between them.

Endpoint: point at one end of segment or starting point of ray.

Ray: part of line that starts at endpoint and extends forever in one direction.

Opposite rays: two rays have common endpoint and form line.

Collinear: points lie on same line.

Coplanar: points lie in same plane.

Postulate: accepted true without proof:

Construction: creating figure more precise.

Midpoint is point that bisects or divides segment into two congruent segments.

Segment Bisector: any ray, segment, or line that intersects segment at endpoint.

Angle Bisector: a ray that divides angles into two congruent angles.

Adjacent Angles: two angles in same plane with common vertex and common side but no common interior points.(meaning side by side)

Linear Pair: pair of adjacent angles whose noncommon sides are opposite rays. (form 180 degrees)

Vertical Angles: two nonadjacent anles formed byt two intersecting lines.

Area of Triangle: 1/2bh Area of Circle: pi r squared cir: pi d or 2 pi r

Legs: sides that form right angle.

Hypotenuse: side across from right angle that stretches from one leg to the other.(longest side)

Reflection or flip- Rotation or turn- Translation or slide

Chapter 2

Biconditional Statement: statement that can be written in form “p if and only if q”

Conclusion: Conditional statement following the word then.

Conditional Statement: statement that can be written in form “if p, then q”,where p is hypothesis and q is conclusion.

Conjecture: statement believed to be true.

Contrapositive: statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement.

Converse: statement formed by exchanging the hypothesis and conclusion of a conditional statement.

Counterexample: example that proves a conjecture or statement is false.

Deductive Reasoning: the process of using logic to draw conclusions.

Definition: a statement that describes a mathematical object and can be written as a true biconditional statement.

Flowchart Proof: a style of proof that uses boxes and arrows to show the structure of the proof.

Hypothesis: The part of a conditional statement following the word if.

Inductive Reasoning: the