3 Mid-Chapter Quiz

Do you know HOW?

Identify the following. Lines and planes that appear to be parallel are parallel.

1. all segments parallel to H G ¯ h g bar
2. a plane parallel to plane EFB
3. all segments skew to E A ¯ e eh bar
4. all segments parallel to plane ABCD

Image Long Description

Use the diagram below for Exercises 5–14.

Image Long Description

Name two pairs of each angle type.

5. corresponding angles
6. alternate interior angles
7. same-side interior angles

State the theorem or postulate that justifies each statement.

8. ∠ 7 ≅ ∠ 9 angle 7 approximately equal to angle 9
9. ∠ 4 ≅ ∠ 5 angle 4 approximately equal to angle 5
10. m ∠ 1 + m ∠ 2 = 180 m angle , 1 plus , m angle , 2 equals 180

Complete each statement.

11. If ∠ 5 ≅ ∠ 9 , angle 5 approximately equal to angle 9 comma  then ? ¯ modified question mark with under bar below || ? ¯ modified question mark with under bar below .
12. If ∠ 4 ≅ ? _ , angle 4 approximately equal to , modified question mark with under bar below , comma  then d || e . d vertical linevertical line e .
13. If e ⊥ b , e up tack b comma  then e ⊥ ? _ . e up tack , modified question mark with under bar below , .
14. If c ⊥ d , c up tack d comma  then b ⊥ ? _ . b up tack , modified question mark with under bar below , .

Find m ∠ 1 . m angle 1 .

Find the value of x for which a || b . eh vertical linevertical line b .

17. 
18. 

19. What is the value of x?

    

Do you UNDERSTAND?

20. Reasoning Can a pair of lines be both parallel and skew? Explain.
21. Open-Ended Give an example of parallel lines in the real world. Then describe how you could prove that the lines are parallel.
22. Reasoning Lines l, r, and s are coplanar. Suppose l is perpendicular to r and r is perpendicular to s. Is l perpendicular to s? Explain.

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