10.13 Geom A Unit 3 Review

Identify the hypothesis and conclusion of the conditional.

"If it is Wednesday, then I have Geometry LiveLesson."

• Hypothesis: I have Geometry lesson

  Conclusion: it is Wednesday

• Hypothesis: it is Wednesday

  Conclusion: I have Geometry LiveLesson

• Hypothesis: it is not Wednesday

  Conclusion: I do not have Geometry LiveLesson

What is the converse of the statement:

"If it is Wednesday, then I have Geometry LiveLesson."

• If it is not Wednesday, then I do not have Geometry LiveLesson.

• If I have Geometry LiveLesson, then it is Wednesday.

• If I do not have Geometry LiveLesson, then it is not Wednesday.

• If I have Geometry LiveLesson, then it is not Wednesday.

What is the inverse of the statement:

"If it is Wednesday, then I have Geometry LiveLesson."

• If it is not Wednesday, then I do not have Geometry LiveLesson.

• If I have Geometry LiveLesson, then it is Wednesday.

• If I do not have Geometry LiveLesson, then it is not Wednesday.

• If I have Geometry LiveLesson, then it is not Wednesday.

What is the contrapositive of the statement:

"If it is Wednesday, then I have Geometry LiveLesson."

• If it is not Wednesday, then I do not have Geometry LiveLesson.

• If I have Geometry LiveLesson, then it is Wednesday.

• If I do not have Geometry LiveLesson, then it is not Wednesday.

• If I have Geometry LiveLesson, then it is not Wednesday.

Write the converse of the true conditional statement. Is the converse true or false? If it is false, write a counterexample.

"If x > 18, then x > 10."

• If x < 10, then x < 18. This is true.

• If x < 18, then x < 10. This is false. A counterexample is 15.

• If x > 10, then x > 18. This is false. A counterexample is 13.

Is each definition reversible? If it is, write it as a true biconditional. If it is not, explain why not.

"A wall clock is a device that tells time."

• Yes, it is reversible

• No, it is not reversible.

Is each definition reversible? If it is, write it as a true biconditional. If it is not, explain why not.

"A linear pair is two angles that are adjacent angles whose noncommon sides are opposite rays."

• Yes, it is reversible

• No, it is not reversible.

What kind of angle pair are $\angle1\ and\ \angle3$  ?

• Adjacent angles

• Vertical angles

• Supplementary angles

• Linear pair

The Vertical Angles Theorem tells us that "vertical angles are ____________."

If  $m\angle2=56\degree$  , what is  $m\angle4$  ?

•  $124\degree$  

•  $56\degree$  

•  $180\degree$