Title: Chapter 3 Free Response
Course: quiz duplicate error

Suppose you have four identical pieces of wood like those shown below. If [Image] can you construct a frame with opposite sides parallel? Explain.
[Image]

Write a paragraph proof of this theorem: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Given: [Image]
Prove: [Image]
[Image]

Write the equation 10x + 5y = 5 in slope-intercept form. Then graph the line.

The fireworks technician has two rocket launchers, each with a base and stand in the form of an L. A diagonal trough on which the technician places a rocket joins the ends of each L. One launcher has a 4-inch base and 10-inch stand. The other has a 6-inch base and a 15-inch stand. Explain why two rockets launched from the two devices could follow parallel paths.

Given [Image], what can you conclude about the lines l, m, and n? Explain.
[Image]

Identify the form of the equation –3x – y = –2. To graph the equation, would you use the given form or change to another form? Explain.

The 8 rowers in the racing boat stroke so that the angles formed by their oars with the side of the boat all stay equal. Explain why their oars on either side of the boat remain parallel.

Write a two-column proof.

Given: [Image] are supplementary.
Prove: [Image]
[Image]

Line p contains points A(–1, 4) and B(3, –5). Line q is parallel to line p. Line r is perpendicular to line q. What is the slope of line r? Explain.

Find the distance between the following lines.
$$y=3 \cdot x+5$$
$$y=3 \cdot x-7$$

**THIS QUESTION DOES NOT COUNT AND WILL NOT AFFECT YOUR FINAL GRADE**

Write the equation 10x + 5y = 5 in slope-intercept form. Tell me the slope of the line and the y-intercept.