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. 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 Statements Reasons 2x-15-x=21+10x Given x-15=21+10x Simplify -15=21+9x Subtract

POE -36=9x Add POE -4=x Division POE x=-4 Symmetric POE

Question #7 Solve for x. Then, state which property

you used to set up the problem.

Answer to #7

x = 3Transitive 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 = 18Y = 13

Linear Pair Postulate