Basic Building Blocks
Has no size, only position.
What is a point?
A figure formed by two rays with a common endpoint.
What is an angle?
A reasoning method that moves from specific examples to general rules.
What is inductive reasoning?
Lines that lie in the same plane and never intersect.
What are parallel lines?
The ancient Greek mathematician who wrote The Elements.
Who is Euclid?
A flat surface extending infinitely in all directions.
What is a plane?
The common endpoint of two rays forming an angle.
What is a vertex?
Reasoning that uses established facts, rules, and definitions to reach a conclusion.
What is deductive reasoning?
Three or more lines that intersect at a single point.
What does concurrent mean?
The mathematician who introduced a introduced a diagram to related conditional statements.
Who is Euler?
Points that lie on the same line.
What is collinear?
To divide an angle into two congruent parts.
What does it mean to bisect?
A statement that contains both a conditional and its converse; written using “if and only if.”
What is a biconditional (or iff statement)?
A closed, flat figure with three or more sides.
What is a polygon?
The theorem that relates the sides of a right triangle: a² + b² = c².
What is the Pythagorean Theorem?
Non-colinear points or lines that lie in the same plane.
What is coplanar?
The concept that a point or ray lies between others on the same line or angle.
What is betweenness of rays?
A conditional statement written backward: if q, then p.
What is a converse?
A solid figure bounded by plane faces.
What is a polyhedron?
The property allows this operation: if a = b, then a can replace b in any expression.
What is substitution?
A statement accepted without proof; it serves as a starting point for logical reasoning.
What is a postulate?
An instrument used to measure or draw angles.
What is a protractor?
The part of a conditional statement following “then.”
What is the conclusion?
A fixed-point tool used to draw circles or arcs.
What is a compass?
The property used in reasoning about differences.
What is subtraction?