# Slopes Of Parallel And Perpendicular Lines Ppt To Pdf 3 581

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## Equations for Parallel and Perpendicular Lines.

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Chapter 5 Slopes of Parallel and Perpendicular Lines. Upcoming SlideShare. Like this presentation? Why not share! Embed Size px.

Start on. Show related SlideShares at end. WordPress Shortcode. Iinternational Program School Follow. Published in: Education , Technology , Business. Full Name Comment goes here. Are you sure you want to Yes No. Jermee Sipisip. Show More. No Downloads. Views Total views. Actions Shares. No notes for slide. Chapter 5 Slopes of Parallel and Perpendicular Lines 1. Warm Up Find the reciprocal. Find the slope of the line that passes through each pair of points.

Identify and graph parallel and perpendicular lines. Write equations to describe lines parallel or perpendicular to a given line. Objectives 4. Vocabulary parallel lines perpendicular lines 5. These two lines are parallel. Parallel lines are lines in the same plane that have no points in common. In other words, they do not intersect.

The lines described by and both have slope. These lines are parallel. Write all equations in slope-intercept form to determine the slope. They each have the slope. Check It Out! They each have slope 2. Identify which lines are parallel. Example 1b Identify which lines are parallel. Example 1b Continued Identify which lines are parallel. They each have slope 3. They are the same line. Since opposite sides are parallel, JKLM is a parallelogram.

Use the ordered pairs and the slope formula to find the slopes of MJ and KL. MJ is parallel to KL because they have the same slope. JK is parallel to ML because they are both horizontal. Example 2 Show that the points A 0, 2 , B 4, 2 , C 1, —3 , D —3, —3 are the vertices of a parallelogram.

AD is parallel to BC because they have the same slope. AB is parallel to DC because they are both horizontal. Use the ordered pairs and slope formula to find the slopes of AD and BC. These lines are perpendicular. The slope of the line described by is. Example 3 Continued These lines are perpendicular because the product of their slopes is —1. Therefore, ABC is a right triangle because it contains a right angle. AB is perpendicular to AC because Example 4 Show that P 1, 4 , Q 2,6 , and R 7, 1 are the vertices of a right triangle.

Therefore, PQR is a right triangle because it contains a right angle. PQ is perpendicular to PR because the product of their slopes is —1. Step 1 Find the slope of the line. The parallel line also has a slope of 3. Step 2 Write the equation in point-slope form. Use the point-slope form. Step 3 Write the equation in slope-intercept form. Add 10 to both sides. Subtract 1 from both sides.

Distribute on the right side. Example 5a Step 1 Find the slope of the line. The parallel line also has a slope of. Example 5a Continued Step 3 Write the equation in slope-intercept form. Add 7 to both sides. Step 3 Write in slope-intercept form. Add 3 to both sides. Lesson Quiz: Part I Write an equation is slope-intercept form for the line described. Lesson Quiz: Part II 3. Show that WXYZ is a rectangle. The product of the slopes of adjacent sides is —1. Therefore, all angles are right angles, and WXYZ is a rectangle.

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Perpendicular lines meet at a right angle. We will explore each of these qualities of lines over this chest of worksheets. These worksheets explain how to classify and construct parallel and perpendicular lines. Students will calculate angles, determine if lines are intersecting, perpendicular, or parallel, identify angles, and more. Determine if 2 lines are Parallel Write Equation for a Line [given m and b] Find the slope and y-intercept from an Equation Find an Equation [given m and a point on the line] Find an Equation [given two points on a line] Mixed Review: Find an Equation Graphing Linear Equations [using x- and y- intercepts method] Games. Parallel and Perpendicular Lines.

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This lesson unit is intended to help you assess how well students understand the relationship between the slopes of parallel and perpendicular lines and in particular, to help identify students who find it difficult to:. Approximately 15 minutes before the lesson, a 1-hour lesson, and 15 minutes in a follow-up lesson. This lesson involves a range of mathematical practices from the standards, with emphasis on:. This lesson asks students to select and apply mathematical content from across the grades, including the content standards:. Grade: 6 7 8 High School. Slopes of Parallel and Perpendicular Lines Lesson PowerPoint (The google slides link is located on the last page of the pdf). Subjects.

## GCSE Maths - Equations of Parallel and Perpendicular Lines.

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3 Response
1. Kai S.

The first two problems are relatively open.

2. Harriet S.

3. 