Q1, HW #18 - Definitions, Postulates and Theorems

Why are proofs useful?

• They use logical deductions to prove a statement true.

• They list given statements.

• They show statements.

A statement that we assume is true without proof.

• corollaries

• theorems

• definitions

• postulates

A true statement that must be proven

• definitions

• theorems

• corollaries

• axiom

a statement of the meaning of a word or word group or a sign or symbol

• corollaries

• theorems

• definitions

• postulates

an extension to a theorem

• corollaries

• theorems

• definitions

• postulates

• Segment Bisector

• Perpendicular Bisector

• Angle Bisector

• Vertical Angles

• Complementary Angles

• Supplementary Angles

• Linear Pair

• Vertical Angles

• Complementary Angles

• Supplementary Angles

• Linear Pair

Adjacent angles that are supplementary and form a straight line.

• Vertical Angles

• Complementary Angles

• Supplementary Angles

• Linear Pair

A point that divides a segment into two congruent segments.

• Vertex

• Endpoint

• Angle bisector

• Midpoint