2. Developing Proof Copy and complete this
paragraph proof of the Perpendicular Transversal
Theorem (Theorem 3-9).
Given: In a plane, x y and y || z.
Prove:
Since y || z, = _______ by the ___________________________________.
By the definition of _____________________________________ lines, x _____ .




3. A puppeteer cuts the pieces shown at the right to frame the stage of
a puppet theater. Will the sides of the pieces on the left and right be
parallel? Replace the








4. Open-Ended Cheryl is making a picture frame out of scraps of wood.
List three pairs of values for x and y for which the sides of the frame will
be parallel. Explain how you determined the values.



Name Class Date

3.4 Practice: Parallel and Perpendicular Lines

The following statements describe the rungs and posts that form the
back of a chair. Assume that the rungs and posts all lie in a plane.
Based only on the statements, make a conclusion about the rungs,
one post, or both posts of the chair back. Explain.

5. The rungs are parallel and the top one is perpendicular to the left post.



6. The right post is perpendicular to all the rungs.



7. The rungs are parallel. The last rung is perpendicular to the right post and the first rung is perpendicular to the left post.




8. Draw a Diagram Apple Road is perpendicular to
Blueberry Lane. Blueberry Lane is parallel to Cornflower
Drive. Cornflower Drive is perpendicular to Daffodil Lane.
Daffodil Lane is parallel to Evergreen Drive. Draw a diagram
to explain how each street is related to every other street.
What can you conclude about Apple Road and Evergreen
Drive? Explain.




9. Reasoning Lines a, b, c, and d are in the same plane. Line a is parallel to
line c. Lines b and c are perpendicular to line d. Based on this, tell how the
lines listed below are related. Justify your answers.
a. lines a and b

b. lines a and d
Answer what u can no picks or look online for assignment and see picks