Writing the equation of the

Slides:

Advertisements

Similar presentations

What’s it asking?Information given from the problem: Steps to solve: What do I need to know/how do I use it? To identify if the equations of the lines.

Advertisements

Equations of parallel, perpendicular lines and perpendicular bisectors

9.1 Distance Formula & Midpoint Formula

Warden 2006 To find the gradient of lines perpendicular to each other.

Steps to finding equation of median. 1.Find midpoint of opposite side. 2.Use vertex and midpoint to find slope of median. 3.Use slope and either vertex.

Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?

Warm-up 1.3x = 8x – 15 0 = 5x – = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – = 2x x = x – 2 = 3x + 6 2x – 2 = 6 2x = 8 x = 4 AB = 2 AM AB.

Parallel and Perpendicular Lines. Parallel Lines Slope is the same y-intercept is different.

10.2 Perpendicular Lines.

2.7 Finding the Midpoint of a Line Segment, Median and Perpendicular Bisector.

Parallel & Perpendicular Lines

Parallel & Perpendicular Lines Parallel Lines – have the SAME slope Perpendicular Lines – have RECIPROCAL and OPPOSITE sign slopes.

Given three points of a circle: (-1,1), (7,-3), (-2,-6).

If we have a line on a graph, how can we determine where the midpoint of that line is? Straight Line Segment Midpoint of Line (x, y) = ? Endpoints.

Perpendicular Bisectors with Ed and Leslie. Hey Ed, How about if we apply some of that math stuff we learned? Can we do that? Sure! But we will have to.

10.1 The Distance and Midpoint Formulas What you should learn: Goal1 Goal2 Find the distance between two points and find the midpoint of the line segment.

The Midpoint Formula. The purpose of the midpoint formula The midpoint formula is used to find the midpoint or the halfway point of a line segment or.

Distance formula 1. 1 Slope 2 2 Midpoint Formula 3.

Honors Analysis.  Solve linear equations  Write linear equations based on application problems  Write linear equations involving supplements and.

Geometry 3-6 Perpendicular Bisector A line or ray that cuts a line segment in half at a 90° angle. Perpendicular bisector Flipped fraction and opposite.

Perpendicular Bisector of a Line To find the equation of the perpendicular bisector of a line segment : 1. Find the midpoint 2. Find the slope of the given.

Geometry 13.5 The Midpoint Formula. The Midpoint Formula The midpoint of the segment that joins points (x 1,y 1 ) and (x 2,y 2 ) is the point (-4,2) (6,8)

Finding the Distance Between Two Points. Distance Formula Where does this formula come from and how do we use it? Consider the following example….

Part 1: Coinciding Lines Parallel Lines. Coinciding Lines: Definition: Lines that have all solutions in common in an input/output table. They overlap.

Honors Geometry Section 3.8 Lines in the Coordinate Plane.

Honors Geometry Section 3.8 Lines in the Coordinate Plane.

Construct: Use a compass and a straightedge to draw a geometric figure. Perpendicular Lines: Two lines that intersect to form two right angles. Perpendicular.

What is slope intercept form? What are parallel lines? What is point slope form? What is standard form? Warm up.

Unit 2 Test Review Geometry WED 1/22/2014. Pre-Assessment Answer the question on your own paper.

Bisectors in Triangles Section 5-2. Perpendicular Bisector A perpendicular tells us two things – It creates a 90 angle with the segment it intersects.

Objective: To write equations of parallel and perpendicular lines.

Parallel and Perpendicular Lines. Parallel Lines Slope is the same y-intercept is different.

Slope: Define slope: Slope is positive.Slope is negative. No slope. Zero slope. Slopes of parallel lines are the same (=). Slopes of perpendicular lines.

Class Work: Algebra Parallel & Perpendicular Lines You need your notes. Title the notes: Parallel & Perpendicular Lines I will check your work at the end.

SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?

Warm-up 6 th Hour – Chapter 6 Test Scores: 100, 98, 95, 94, 92, 92, 88, 85, 83, 82, 72, 70, 67, 66, 62, 58, 7 MeanMedian ModeRange What happens to the.

1 Find the equation of the line that goes through the points (-3, 6) and (-2, 4). y = -2x.

5.6 Parallel and Perpendicular Equations

Geometry Review on Algebra 1

4.4 Altitudes, Medians, and Perpendicular Bisectors

Medians - Perp Bisectors - Altitudes

Parallel and Perpendicular Lines

1.5 Writing Equations of Parallel and Perpendicular Lines

Lesson 3-6 Part 2 Point-Slope Equation.

1-3 The Distance and Midpoint Formulas

2.2.4 Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane.

Jeopardy Final Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200

9.1 Apply the Distance and Midpoint Formulas

Parallel and Perpendicular Lines Ms. Houghton Geometry Honors

6.1 Perpendicular and Angle Bisectors

Solve Linear Systems By Elimination

9.1 Apply the Distance and Midpoint Formulas

Finding the Midpoint To discover the coordinates of the midpoint of a segment in terms of those of its endpoints To use coordinates of the midpoint of.

Apply the Distance and Midpoint Formulas

Writing Equations of Lines

Perpendicular Slopes.

Geometry 3-6 Parallel and Perpendicular Lines

The Distance and Midpoint Formulas

Math Humor What kind of roots does a geoma tree have? Square Roots!!!!

Equations of Lines.

3.4 Proofs with perpendicular lines

Basic Constructions Constructing a congruent segment

13.1 Cooridinate Geometry.

Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints P(5, 2) and Q(1, –4). Step 1 Graph PQ. The perpendicular.

What do you see when you look in a mirror?

Review Unit 6 Test 1.

Unit 1 Test Review.

WARM UP Find the equation of the line that passes through (3, 4), (6,8)? Find the slope of the line that passes through (-4,-8), (12,16)? Find the equation.

X ⦁ X = 64 ±8 ±14 X ⦁ X ⦁ X =

Solve Linear Systems By Elimination

Presentation transcript:

Writing the equation of the PERPENDICULAR BISECTOR

1) Find the SLOPE of the line segment containing the 2 given points. Here are the steps to follow when asked to write the equation of the perpendicular bisector: 1) Find the SLOPE of the line segment containing the 2 given points. 2) Make that slope PERPENDICULAR (change sign and flip fraction). 3) Find the MIDPOINT of the line segment that contains the 2 given points. 4) Now write the equation of the line in point slope form, using the slope from step 2 and the midpoint from step 3.