Using the given, determine if the conclusion is valid. If so, justify it. Given: ∠ 10 ≅ ∠ 15 \angle10\ \cong\ \angle15 ∠ 1 0 ≅ ∠ 1 5 Conclusion: A D ‾ ∥ B C ‾ \overline{AD}\parallel\overline{BC} A D ∥ B C Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Using the given, determine if the conclusion is valid. If so, justify it. Given: A D ‾ ∥ B C ‾ \overline{AD}\parallel\overline{BC} A D ∥ B C Conclusion: ∠ 5 ≅ ∠ 10 \angle5\cong\angle10 ∠ 5 ≅ ∠ 1 0 Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Using the given, determine if the conclusion is valid. If so, justify it. Given: A D ‾ ∥ B C ‾ \overline{AD}\parallel\overline{BC} A D ∥ B C Conclusion: ∠ 17 ≅ ∠ 12 \angle17\cong\angle12 ∠ 1 7 ≅ ∠ 1 2 Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Using the given, determine if the conclusion is valid. If so, justify it. Given: A B ‾ ∥ D C ‾ \overline{AB}\parallel\overline{DC} A B ∥ D C Conclusion: ∠ 15 ≅ ∠ 7 \angle15\cong\angle7 ∠ 1 5 ≅ ∠ 7 Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Using the given, determine if the conclusion is valid. If so, justify it. Given: ∠ 12 ≅ ∠ 3 \angle12\ \cong\angle3 ∠ 1 2 ≅ ∠ 3 Conclusion: A B ‾ ∥ D C ‾ \overline{AB}\parallel\overline{DC} A B ∥ D C Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Using the given, determine if the conclusion is valid. If so, justify it. Given: ∠ 17 ≅ ∠ 7 \angle17\ \cong\angle7 ∠ 1 7 ≅ ∠ 7 Conclusion: A B ‾ ∥ D C ‾ \overline{AB}\parallel\overline{DC} A B ∥ D C Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Using the given, determine if the conclusion is valid. If so, justify it. Given: ∠ 18 ≅ ∠ 1 \angle18\ \cong\angle1 ∠ 1 8 ≅ ∠ 1 Conclusion: A B ‾ ∥ D C ‾ \overline{AB}\parallel\overline{DC} A B ∥ D C Reason:???

Alternate exterior angles theorem

Alternate exterior angles converse

Parallel lines (theorems and converses)

9th - 10th Grade

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Parallel lines (theorems and converses)

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Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.5

Standards-aligned

Maureen Hayden

Used 313+ times

FREE Resource

18 questions

Show all answers

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle9\cong\angle14$ Reason:???

Not valid

Alternate interior angles theorem

Alternate interior angles converse

Consecutive interior angles theorem

Consecutive interior angles converse

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle3\cong\angle5$ Reason:???

Not valid

Corresponding angles postulate

Corresponding angles converse

Consecutive interior angles theorem

Consecutive interior angles converse

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle19\cong\angle10$ Reason:???

Not valid

Corresponding angles postulate

Corresponding angles converse

Consecutive interior angles theorem

Consecutive interior angles converse

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\cong\angle12$
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Not valid

Alternate interior angles theorem

Alternate interior angles converse

Consecutive interior angles theorem

Consecutive interior angles converse

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\ and\ \angle11\$ are supplementary.
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Not valid

Alternate interior angles theorem

Alternate interior angles converse

Consecutive interior angles theorem

Consecutive interior angles converse

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle8\ \cong\ \angle13\$
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Not valid

Alternate interior angles theorem

Alternate interior angles converse

Consecutive interior angles theorem

Consecutive interior angles converse

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle12\ \cong\ \angle15$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Not valid

Alternate interior angles theorem

Alternate interior angles converse

Corresponding angles postulate

Corresponding angles converse

Tags

CCSS.8.G.A.5

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Parallel lines (theorems and converses)

18 questions

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle9\cong\angle14$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle3\cong\angle5$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle19\cong\angle10$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\cong\angle12$
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\ and\ \angle11\$ are supplementary.
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle8\ \cong\ \angle13\$
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle12\ \cong\ \angle15$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle9\ \cong\ \angle14$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\ \cong\ \angle15$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle5\cong\angle10$ Reason:???

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Parallel lines (theorems and converses)

18 questions

Using the given, determine if the conclusion is valid. If so, justify it.Given: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Conclusion: ∠9≅∠14\angle9\cong\angle14∠9≅∠14 Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Conclusion: ∠3≅∠5\angle3\cong\angle5∠3≅∠5 Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Conclusion: ∠19≅∠10\angle19\cong\angle10∠19≅∠10 Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: ∠10≅∠12\angle10\cong\angle12∠10≅∠12 Conclusion: AB‾∥DC‾\overline{AB}\parallel\overline{DC}AB∥DC Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: ∠10 and ∠11 \angle10\ and\ \angle11\ ∠10 and ∠11 are supplementary. Conclusion: AB‾∥DC‾\overline{AB}\parallel\overline{DC}AB∥DC Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: ∠8 ≅ ∠13 \angle8\ \cong\ \angle13\ ∠8 ≅ ∠13 Conclusion: AB‾∥DC‾\overline{AB}\parallel\overline{DC}AB∥DC Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: ∠12 ≅ ∠15\angle12\ \cong\ \angle15∠12 ≅ ∠15 Conclusion: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: ∠9 ≅ ∠14\angle9\ \cong\ \angle14∠9 ≅ ∠14 Conclusion: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: ∠10 ≅ ∠15\angle10\ \cong\ \angle15∠10 ≅ ∠15 Conclusion: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.Given: AD‾∥BC‾\overline{AD}\parallel\overline{BC}AD∥BC Conclusion: ∠5≅∠10\angle5\cong\angle10∠5≅∠10 Reason:???

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Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle9\cong\angle14$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle3\cong\angle5$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle19\cong\angle10$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\cong\angle12$
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\ and\ \angle11\$ are supplementary.
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle8\ \cong\ \angle13\$
Conclusion: $\overline{AB}\parallel\overline{DC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle12\ \cong\ \angle15$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle9\ \cong\ \angle14$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\angle10\ \cong\ \angle15$
Conclusion: $\overline{AD}\parallel\overline{BC}$ Reason:???

Using the given, determine if the conclusion is valid. If so, justify it.
Given:
$\overline{AD}\parallel\overline{BC}$
Conclusion: $\angle5\cong\angle10$ Reason:???