Unit 2 Angle, Lines, & Proofs: Reasoning

Front

What is a supplementary angle?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

Provide a counterexample to the claim: "If two angles are supplementary, then they are not congruent."

Back

90° and 90° are supplementary angles that are congruent.

Front

What is a counterexample?

Back

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

Front

What does the Law of Detachment state?

Back

If a conditional statement is true and its hypothesis is true, then the conclusion is also true.

Front

If an angle is 40°, what can we conclude about it?

Back

It is acute, as acute angles are less than 90°.

Front

What is the Law of Syllogism?

Back

If 'p implies q' and 'q implies r' are both true, then 'p implies r' is also true.

Front

Using the Law of Syllogism, what can we conclude if it is snowing heavily and school is canceled?

Back

The big test will not be given today.

Front

What is a conjecture in mathematics?

Back

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

Front

Back

x = -2 is a counterexample since (-2)^2 = 4.

Front

What is the product of two negative numbers?

Back

The product of two negative numbers is positive.