Proving Lines Parallel

Question 1

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

Revolt · Accepted Answer

A

Question 2

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

Revolt · Accepted Answer

52

Question 3

Analyze the diagram below and answer the question that follows. If and is increased by 20 degrees, how must be changed to keep the segments parallel?

Revolt · Accepted Answer

would increase by 20 degrees.

Question 4

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

Revolt · Accepted Answer

20

Question 5

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

Revolt · Accepted Answer

C

Question 6

Based on the given information, determine which sides of quadrilateral ABCD must be parallel. A. B. C. and D. None of the sides must be parallel. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 7

Determine the missing reason in the second line of the following proof. Given: Prove: Statements Reasons 1. 1. Given 2. 2. ______________ 3. 3. Given 4. 4. Transitive property of 5. 5.Converse of corresponding angles postulate

Revolt · Accepted Answer

Alternate interior angles theorem

Question 8

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

Revolt · Accepted Answer

5

Question 9

Based on the given information, determine which sides of quadrilateral ABCD must be parallel. A. B. C. and D. None of the sides must be parallel. Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 10

Analyze the diagram below and answer the question that follows.

Revolt · Accepted Answer

Responses may vary but should include some or all of the following information:For line p to be parallel to line q, it must be true that (2x – 2) = (x + 56), so x = 58. For line r to be parallel to line s, it must be true that 2y + 7 + 3y – 17 = 180, so y = 38. Since (x + 56) and (2y + 7) form a linear pair, x + 56 + 2y +7 = 180. However, if you plug in x = 58 and y = 38, you get 58 + 56 + 2(38) + 7 = 180, or 197 = 180, which is false. Therefore, line p cannot be parallel to line q at the same time that line r is parallel to line s.

Proving Lines Parallel Answers

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