FIREWORKS A fireworks display is being readied for a celebration

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Presentation transcript:

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

Section 3-6 Perpendiculars and Distance

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.

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

Distance Between a Point and a Line

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

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

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

Distance Between Parallel Lines

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

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

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

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

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

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!