Proving Lines Parallel Answers

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5

Analyze the diagram below and complete the instructions that follow. Given only the information in the diagram, determine if . If so, name the postulate or theorem used to support your conclusion.

Question illustration
A
yes; converse of the consecutive interior angles theorem
B
yes; converse of the alternate interior angles theorem
C
yes; converse of the corresponding angles postulate
D
no
8

Determine the missing reason in the fifth line of the following proof. Given: Prove: Statements Reasons 1. 1. Given 2. 2. Alternate interior angles 3. 3. Given 4. 4. Transitive property 5. 5. _______________

Question illustration
A
Vertical angles are congruent.
B
Converse of the alternate interior angles theorem
C
Corresponding angles postulate
D
Converse of the corresponding angles postulate
10

Analyze the diagram below and complete the instructions that follow. Given the information in the diagram, determine if . If so, give the theorem or postulate used to support your conclusion.

Question illustration
A
yes; converse of the consecutive interior angles theorem
B
yes; converse of the alternate interior angles theorem
C
yes; converse of the corresponding angles postulate
D
no

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