Quiz about Alternate Interior Angle Theorem

Question 1

What is the value of x?

Accepted Answer

13

Answer

6.2

Answer

29.8

Question 2

Angle 3 and Angle 6 are examples of which type of angle pair?

Accepted Answer

Alternate interior angles

Answer

Alternate exterior angles

Answer

Vertical angles

Answer

Corresponding angles

Question 3

If the $$m\angle7\ =\ 115\degree,$$ find the measure of $$\angle2.$$

Accepted Answer

$$115\degree$$

Answer

$$65\degree$$

Answer

$$180\degree$$

Answer

Cannot be determined

Question 4

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

Accepted Answer

Alternate interior angles theorem

Answer

Not valid

Answer

Alternate interior angles converse

Answer

Consecutive interior angles theorem

Answer

Consecutive interior angles converse

Question 5

Using the given, determine if the conclusion is valid. If so, justify it.
Given: $$\overline{AD}\parallel\overline{BC}$$
Conclusion: $$\angle17\cong\angle12$$ Reason:???

Accepted Answer

Alternate interior angles theorem

Answer

Not valid

Answer

Alternate interior angles converse

Answer

Alternate exterior angles theorem

Answer

Alternate exterior angles converse

Question 6

Using the given, determine if the conclusion is valid. If so, justify it.
Given: $$\overline{AB}\parallel\overline{DC}$$
Conclusion: $$\angle15\cong\angle7$$ Reason:???

Accepted Answer

Alternate interior angles theorem

Answer

Not valid

Answer

Alternate interior angles converse

Answer

Alternate exterior angles theorem

Answer

Alternate exterior angles converse

Question 7

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

Accepted Answer

Alternate interior angles converse

Answer

Not valid

Answer

Alternate interior angles theorem

Answer

Consecutive interior angles theorem

Answer

Consecutive interior angles converse

Question 8

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

Accepted Answer

Alternate interior angles converse

Answer

Not valid

Answer

Alternate interior angles theorem

Answer

Consecutive interior angles theorem

Answer

Consecutive interior angles converse

Question 9

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

Accepted Answer

Not valid

Answer

Alternate interior angles theorem

Answer

Alternate interior angles converse

Answer

Consecutive interior angles theorem

Answer

Consecutive interior angles converse

Question 10

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

Accepted Answer

Alternate interior angles converse

Answer

Not valid

Answer

Alternate interior angles theorem

Answer

Corresponding angles postulate

Answer

Corresponding angles converse

Question 11

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

Accepted Answer

Not valid

Answer

Alternate interior angles theorem

Answer

Alternate interior angles converse

Answer

Alternate exterior angles theorem

Answer

Alternate exterior angles converse

Question 12

and are ___.

Accepted Answer

Alternate Interior Angles

Answer

Alternate Exterior Angles

Answer

Same-side Interior Angles

Answer

Corresponding Angles

Answer

None of these

Question 13

Find the value of x if the $$m\angle1\ =\ 11x\ -\ 9\degree$$ and the $$m\angle5\ =\ 7x\ +9\degree$$ .

Accepted Answer

4.5

Answer

-4.5

Answer

1

Answer

0

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