Euclidean Geometry Flashcard

Front

What is the inverse of the statement: 'If you receive A grade in math, then you will be awarded a scholarship'?

Back

If you don't receive A grade in math, then you will not be awarded a scholarship.

Front

What is a counterexample?

Back

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

Front

Write the conditional statement for: 'A counterexample shows that a conjecture is false.'

Back

If a conjecture is false, then a counterexample is shown.

Front

True or False: A counterexample is an example that makes a definition or conjecture incorrect.

Back

True

Front

What is an example of a counterexample for the statement: 'If it is an angle, then it is acute'?

Back

120° is a counterexample.

Front

Define a conditional statement in geometry.

Back

A conditional statement is an if-then statement that relates two propositions.

Front

What is the contrapositive of the statement: 'If it rains, then the ground is wet'?

Back

If the ground is not wet, then it does not rain.

Front

What is the difference between a theorem and a conjecture?

Back

A theorem is a proven statement, while a conjecture is a statement believed to be true but not yet proven.

Front

What does it mean for two angles to be complementary?

Back

Two angles are complementary if their measures add up to 90 degrees.

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.