## Geometry Module 1 Topic B Lesson 8

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## New York State Common Core Math Geometry Module 4 Lesson 8

Student Outcomes

- Students recognize parallel and perpendicular lines from slope.
- Students create equations for lines satisfying criteria of the kind: Contains a given point and is parallel/perpendicular to a given line.

**Parallel and Perpendicular Lines**

Classwork

**Opening Exercise**

**Example 1**

a. What is the relationship between two coplanar lines that are perpendicular to the same line? b. Given two lines, 1 and 2, with equal slopes and a line that is perpendicular to one of these two parallel lines, 1:i. What is the relationship between line and the other line, 2?ii. What is the relationship between 1 and 2?

**Exercises 27**

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## Common Core Geometry Workbook

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This workbook contains more than 100 lessons and homework sets that are aligned to the Common Core State Standards. Workbooks for the Common Core series by eMATHinstruction are available in two binding types, spiral bound and loose leaf three hole punch. Three ring binders are NOT included with the three hole punch books and must be purchased separately. All workbooks are a collection of the lessons and homework sets. Unit reviews are also included in the printed books.

Note that answers are not included with books. Please see our Common Core Geometry Membership for more details.

## Common Core Geometry Membership Teacher Plus

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## Perpendicular Lines And Slopes

Perpendicular lines are lines that intersect at right angles.

If you multiply the slopes of two perpendicular lines in the plane, you get 1 . That is, the of perpendicular lines are opposite .

We can write the equation of a line perpendicular to a given line if we know a point on the line and the equation of the given line.

** Example :**

Write the equation of a line that passes through the point ( and is perpendicular to the line y

Perpendicular lines are lines that intersect at right angles.

The slope of the line with equation y . If you multiply the slopes of two perpendicular lines, you get

So, the line perpendicular to y

Now use the to find the equation.

We have to find the equation of the line which has the slope and passes through the point (

is perpendicular to the line y and passes through the point (

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## Common Core Geometry Practice Distance & Midpoint Formulas

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