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- 1. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the converse.If the measures of the angles are equal, then the angles are congruent."If angles are not congruent, then the measures of the angles are not equal."If the measures of the angles are not equal, then the angles are not congruent.If the angles are not congruent, then the measure of the angles are equal.
- 2. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.If the measures of the angles are equal, then the angles are congruent."If angles are not congruent, then the measures of the angles are not equal."If the measures of the angles are not equal, then the angles are not congruent.If the angles are not congruent, then the measure of the angles are equal.
- 3. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.If the measures of the angles are equal, then the angles are congruent.If angles are not congruent, then the measures of the angles are not equal.If the measures of the angles are not equal, then the angles are not congruent.If the angles are not congruent, then the measure of the angles are equal.
- 4. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.If angles are congruent.Angles are congruent.Then the measures of the angles are equal.The measures of the angles are equal.
- 5. Multiple ChoiceGiven, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.If the angles are congruent.The angles are congruent.Then the measures of the angles are equal.The measures of the angles are equal.
- 6. Multiple Choice
To write the converse you negate both the hypothesis and the conclusion.FalseTrue - 7. Multiple ChoiceWhat is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."if they add up to 180 degreesthe angles are supplementarythey add up to 180 degreesthere is no conclusion
- 8. Multiple ChoiceWhen can a biconditional statement be true?When the inverse and the converse are both trueWhen the original statement (conditional statement) & the contrapositive are both true.When the converse is true.When the original statement (conditional statement) and the converse are both true.
- 9. Multiple ChoiceWhen taking the converse we ___________ the hypothesis and conculsionnegateswitchhighlightswitch and negate
- 10. Multiple ChoiceWhen taking the inverse we _____________ the hypothesis and conculsionnegateswitchswitch and negatekeep the same
- 11. Multiple ChoiceFor the contrapositive we _________ the hypothesis and conclusionswitchnegateswitch and negate
- 12. Multiple Choicep→q
What is the contrapositive?q→p∼p→∼q∼q→∼pp→∼q - 13. Multiple ChoiceWhat does this mean?Conditional StatementInverse StatementConverse StatementContrapositive Statement
- 14. Multiple Choicep→q
What is the inverse?q→p∼p→∼q∼q→∼pp→∼q - 15. Multiple Choicep→q
What is the contrapositive?q→p∼p→∼q∼q→∼pp→∼q - 16. Multiple Choice
Write a definition of congruent angles as a biconditional statement.
Angles are congruent if they have the same size and shape.
If angles are congruent, then they have the same size and shape.
Congruent angles are the same.
Angles are congruent if and only if they have the same size and shape.
- 17. Multiple Choice
Write a definition of a right angle as a biconditional statement.
An angle is a right angle if and only if it has a measure of 90 degrees.
An angle has a measure of 90 degrees if and only if it is a right angle.
Right angles are 90 degrees.
If an angle is a right angle, then it has a measure of 90 degrees.
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