G.2a Proving Lines Parallel

Lines a and b intersect lines c and d. Which of the following statements could be used to prove that a∥b and c∥d?

• ∠3 ≅ ∠5 and ∠4 ≅ ∠12

• ∠7 and ∠10 are supplementary and ∠4 ≅ ∠8

• ∠6 and ∠5 are supplementary and ∠9 ≅ ∠11

• ∠9 ≅ ∠8 and ∠2 ≅ ∠6

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CCSS.HSG.CO.C.9

Lines a and b intersect lines c and d. Which statement could be used to prove a // b and c // d?

• ∠1 and ∠2 are supplementary and ∠5 ≅ ∠6

• ∠1 ≅ ∠3 and ∠3 ≅ ∠5

• ∠3 and ∠5 are supplementary and ∠5 and ∠6 are supplementary

• ∠3 ≅ 4 and ∠2 ≅ ∠6

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CCSS.HSG.CO.C.9

Lines r and q intersect with lines with lines t and u. Which of the following statements would prove r // q and t // u?

• ∠1 and ∠3 are supplementary, ∠2 ≅ ∠5

• ∠2 and ∠4 are supplementary, ∠4 ≅ ∠6

• ∠1 and ∠3 are supplementary, ∠4 and ∠6 are supplementary

• ∠2 and ∠3 are supplementary, ∠2 ≅ ∠5

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CCSS.HSG.CO.C.9

Lines a and b intersect lines c and d. Which of the following statements would prove that a // b and c // d?

• ∠1 ≅ ∠6, ∠3 ≅ ∠5

• ∠1 ≅ ∠6, ∠4 + ∠5 = 180°

• ∠1 ≅ ∠4, ∠1 + ∠2 = 180°

• ∠1 + ∠3 = 180°, ∠1 + ∠6 = 180°

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CCSS.HSG.CO.C.9

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠6 and ∠14

• ∠4 and ∠10

• ∠5 and ∠6

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CCSS.HSG.CO.C.9

Which diagram shows a pair of angle measures that will prove that line m is parallel to line n?

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CCSS.HSG.CO.C.9

Which diagram shows a pair of angle measures that will prove that line a is parallel to line b?

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CCSS.HSG.CO.C.9

The diagrams represent the stripes used to mark parking spaces on a lot. Based only on the information given, which diagram could be used to prove AB // CD and AC // BD?

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CCSS.HSG.CO.C.9

Which diagram shows a pair of angle measures that will prove that line a is parallel to line b?

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Tags

CCSS.HSG.CO.C.9

Given the diagram below, which statement is true?

• a // c and b // d

• a // b and c // d

• a // d and b // c

• a // b and b // c

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CCSS.HSG.CO.C.9