Ch 2 Review (Condensed) Sections 2.2, 2.5-2.7. Question #1  For the given statement, write the if-then form, the converse, the inverse, and the contrapositive.

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Presentation transcript:

Ch 2 Review (Condensed) Sections 2.2,

Question #1  For the given statement, write the if-then form, the converse, the inverse, and the contrapositive. Determine the truth value of each statement.  Ants are insects.

Answer to #1  If-Then: If you are an ant, then you are an insect. (T)  Converse: If you are and insect, then you are an ant. (F)  Inverse: If you are not an ant, then you are not an insect. (F)  Contrapositive: If you are not an insect, then you are not an ant. (T)

Question #2  Determine if the statement is a good definition. If not, state “No” and explain, if so, state “Yes” and write it as a bi-conditional.  If two rays are opposite rays, then they have a common endpoint.

Answer to #2  No.  The converse of the statement is not true. Two rays could have a common endpoint and not be opposite rays.

Question #3  Complete the proof by filling in the missing statements and reasons.

Answer to #3  2. m<1=90, m<2=90  3. Transitive POE  4. Definition of Congruent Angles

Question #4  Complete the proof by filling in the missing statements and reasons.

Answer to #4  1. Given  2. <B and <C are right angles  3. Right Angle Congruence Theorem

Question #5  Name the property.  A)  B)  C)

Answer to #5  A) Transitive POC  B) Symmetric POC  C) Reflexive POE

Question #6  Solve the equation by writing a 2-column proof.  2x-15-x=21+10x

Answer to #6  StatementsReasons  2x-15-x=21+10xGiven  x-15=21+10xSimplify  -15=21+9xSubtract POE  -36=9xAdd POE  -4=xDivision POE  x=-4Symmetric POE

Question #7  Solve for x. Then, state which property you used to set up the problem.

Answer to #7  x = 3  Transitive POC

Question #8  Find the values of x and y. Then, state which postulate or theorem you used to set up the problem.

Answer to #8  X = 11  Y = 17  Vertical Angle Congruence Theorem

Question #9  Find the values of x and y. Then, state which postulate or theorem you used to set up the problem.

Answer to #9  X = 18  Y = 13  Linear Pair Postulate