1st Semester Last Review

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition. For instance, the statement 'Any number divisible by 2 is divisible by 4' can be disproven by the counterexample 10, since 10 is divisible by 2 but not by 4.

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'If P, then Q' and 'If Q, then R' are both true statements, then 'If P, then R' is also true. It allows for drawing conclusions from two conditional statements.

Front

What are Linear Pair angles?

Back

Linear Pair angles are two adjacent angles that form a straight line. The sum of their measures is always 180 degrees.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, use the fact that the sum of all angles in a triangle is 180 degrees. If you know the measures of the other two angles, subtract their sum from 180 degrees.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement 'If P, then Q' is true and P is true, then Q must also be true.

Front

Define Complementary Angles.

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

Define Congruent Angles.

Back

Congruent angles are angles that have the same measure.

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is a Conditional Statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (P) and a conclusion (Q), typically written as 'If P, then Q'.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.