1. FIREWORKS A fireworks display is being readied for a celebration
FIREWORKS A fireworks display is being readied for a celebration. The designers want to have four fireworks shoot out along parallel trajectories. They decide to place two launchers on a dock and the other two on the roof of a building. To pull off this display, what should the measure of angle 1 be?
Problem of the Day

2. Section 3-6 Perpendiculars and Distance

3. Then
Now
Objectives
You proved that two lines are parallel using angle relationships.
Find the distance between a point and a line.
Find the distance between parallel lines.

4. Common Core State Standards
Content Standards
G.MG.3 – Apply geometric methods to solve problem.
Mathematical Practices
2) Reason abstractly and quantitatively.
4) Model with mathematics.
Common Core State Standards

5. Distance Between a Point and a Line

6. Line l contains the points (-4, -3) and (1, -3)
Line l contains the points (-4, -3) and (1, -3). Find the distance between line l and point P(-1, 5).
Example 2

7. Line l contains the points (4, 2) and (4, -5)
Line l contains the points (4, 2) and (4, -5). Find the distance between line l and point P(-2, 1).
Example 2

8. Line l contains the points (-3, 5) and (2, 5)
Line l contains the points (-3, 5) and (2, 5). Find the distance between line l and point P(-1, -4).
Example 2

9. Distance Between Parallel Lines

10. Find the distance between the pair of parallel lines with the given equations: y = 8 y = -2
Example 3

11. Find the distance between the pair of parallel lines with the given equations: x = -6 x = 5
Example 3

12. Find the distance between the pair of parallel lines with the given equations: y = 7 y = -1
Example 3

13. p.221 #17, 18, 20 – 22, 25, 26, 52, 63 – 65
Homework

14. If a || b, which angle pair must be congruent by the Corresponding Angles Postulate? a) ∠8 and ∠5 b) ∠3 and ∠11 c) ∠4 and ∠10 d) ∠16 and ∠14
Problem of the Day

15. Problem of the Day… Take 2!
What is the slope of a line parallel to 𝐴𝐵 ? What is the slope of a line perpendicular to 𝐶𝐷 ?
Problem of the Day… Take 2!