Proving Lines Parallel Answers

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1
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Analyze the diagram below and answer the question that follows. If and , what is the measure of ?

Question illustration
A
83°
B
90°
C
97°
D
cannot be determined
2
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Analyze the diagram below and answer the question that follows. Photo by Brian Moloney One way to build a staircase is to attach triangular blocks to an angled support, as shown above. If the support makes a angle with the floor, what must the measure of angle 1 be so that the steps are parallel to the floor? A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
3

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
5

Analyze the diagram below and complete the instructions that follow. Find the value of x for which .

Question illustration
A
31
B
33
C
39
D
41
6

Analyze the diagram below and answer the question that follows. Which statement allows us to conclude that line m and line n are parallel? A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
7

Analyze the diagram below and answer the question that follows. If and is decreased by 30 degrees, how must be changed to keep the lines parallel?

Question illustration
A
would stay the same.
B
would increase by 30 degrees.
C
would decrease by 30 degrees.
D
The answer cannot be determined.
8

Analyze the diagram below and complete the instructions that follow. Determine which lines are parallel, given that and . A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

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
10

Analyze the diagram below and answer the question that follows. If and is doubled, how must be changed to keep the lines parallel?

Question illustration
A
would stay the same.
B
would need to double.
C
would need to be cut in half.
D
The answer cannot be determined.

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