AnswersReading HS- Integrated Math ICongruent Angle Pairs

Parallel Lines and Angles Answers

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Analyze the diagram below and complete the instructions that follow.Find the value of x and the value of y. A. B. C. D. Please select the best answer from the choices provided

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A
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D
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Analyze the diagram below and complete the instructions that follow. Based on the diagram, measures 65° by the vertical angles theorem. Given that and , identify all the other angles that also measure 65°. A. B. C. D. Please select the best answer from the choices provided

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A
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B
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C
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D
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Analyze the diagram below and answer the question that follows. and form what type of angle pair?

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corresponding angles
B
alternate interior angles
C
consecutive interior angles
D
alternate exterior angles
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Analyze the diagram below and complete the instructions that follow.The diagram contains contradictory information. Explain the contradiction.

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Since and are consecutive interior angles, they are supplementary. Therefore, . When you solve for x, you get 0 = 180. This equality is not valid.
B
Since and are consecutive interior angles, they are congruent. Therefore, . When you solve for x, you get x = 30. This would make and . An angle cannot measure , because it would not exist.
C
Since and are corresponding angles, they are supplementary. Therefore, . When you solve for x, you get 0 = 180. This equality is not valid.
D
Since and are corresponding angles, they are congruent. Therefore, . When you solve for x, you get x = 30. This would make and . An angle cannot measure .
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Analyze the diagram below and complete the instructions that follow. Identify two pairs of consecutive interior angles.

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and ; and
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and ; and
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and ; and
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and ; and
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Analyze the diagram below and complete the instructions that follow. If , find and .

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,
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,
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,
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,
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Analyze the diagram below and answer the questions that follow.Image by e2020In the diagram, the lines dividing the parking spaces are parallel. What must be true about and ? What theorem supports your conclusion?

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and are supplementary; alternate interior angles theorem
B
; alternate interior angles theorem
C
and are supplementary; consecutive interior angles theorem
D
; consecutive interior angles theorem
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Analyze the diagram below and answer the question that follows. Image by e2020The fence above uses parallel posts l, m, and o to hold parallel rails n and p together. and are consecutive interior angles. What is the transversal?

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o
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n
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m
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p
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Analyze the diagram below and complete the instructions that follow. Find the measure of . State the postulate or theorem used to justify your answer.

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, alternate interior angles theorem
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, alternate exterior angles theorem
C
, corresponding angles postulate
D
, consecutive exterior angles theorem
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Given that , fill in the reasons why each statement is true. Statements Reasons _______________________________________ 1. 1. ___________________ 2. 2. ___________________ 3. 3. ___________________ 4. 4. ___________________ 5. 5. ___________________

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Answer:

Responses may vary but should include some or all of the following information:1. Given 2. Vertical angles are congruent. 3. If two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. 4. Vertical angles are congruent. 5. Substitution

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