ATA Geometry Unit 2 Study Guide

Front

What is a conjecture in geometry?

Back

A conjecture is a statement that is believed to be true based on observations but has not yet been proven.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion is also true.

Front

What is the Law of Syllogism?

Back

The Law of Syllogism allows one to deduce a conclusion from two conditional statements when the conclusion of one statement is the hypothesis of the other.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles whose non-common sides form a straight line.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

What is the truth value of a statement?

Back

The truth value of a statement is either true or false.

Front

What does it mean for two angles to be adjacent?

Back

Two angles are adjacent if they share a common vertex and a common side but do not overlap.

Front

What is the relationship between vertical angles?

Back

Vertical angles are always congruent; they are the angles opposite each other when two lines intersect.

Front

What is a compound statement?

Back

A compound statement is formed by combining two or more statements using logical connectors such as 'and', 'or', and 'not'.