Unit 2 Study Guide Review

 Identify which of the following statements is the contrapositive for the conditional statement. 

“If the sum of two angles is 90°, then the angles are complementary.”

• If the angles are not complementary, then the sum of the two angles is not 90°.

• The angles are complementary if and only if the sum of the two angles is 90°.

• If the sum of the two angles is not 90°, then the angles are not complementary

• If the angles are complementary, then the sum of the two angles is 90°.

Identify which of the following statements is the inverse for the conditional statement. 

“If the sum of two angles is 90, then the angles are complementary.”

• If the angles are complementary, then the sum of the two angles is 90°.

• If the angles are not complementary, then the sum of the two angles is not 90°.

• If the sum of the two angles is not 90°, then the angles are not complementary.

• The angles are complementary if and only if the sum of the two angles is 90°.

Write the statement as an if-then conditional statement.

All New Yorkers have been to New York City.

Evaluate responses using AI:

OFF

Write the statement as an if-then conditional statement.

The angle created by a straight line is 180°

Evaluate responses using AI:

OFF

Determine the type of reasoning for the statement.

The sum of two 2-digit numbers is always a 3-digit number

• Deductive Reasoning

• Inductive Reasoning

Determine the type of reasoning for the statement.

For a golf cart to be considered ‘street legal’ it must have blinkers. Jill’s golf cart has been deemed ‘street legal’. Therefore, her golf cart has blinkers.

• Deductive Reasoning

• Inductive Reasoning

Which of the following statements justifies statement 2?

• Definition of complementary angles

• Definition of equality

• Definition of reflexive property

• Definition of congruence

A conditional statement is shown below:

If a lowercase letter is symmetrical, then it is the letter t.

Which of the following is a counterexample for the conditional statement above?

• The letter p

• The letter q

• The letter x

• The letter r