Presentation is loading. Please wait.

Presentation is loading. Please wait.

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.

Published byJennifer Kelley Modified over 9 years ago

Similar presentations

Presentation on theme: "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."— Presentation transcript:

1 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 line segment 3. Find the perpendicular slope ( flip the fraction and change signs ) 4. Use the midpoint ( a, b ) and the perpendicular slope in the point – slope equation.

2 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ).

3 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ). 1.

4 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ). 1. 2.

5 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ). 1. 2. 3.

6 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 2, 7 ) and ( 4, - 1 ). 1. 2. 3. 4. Substitute the midpoint and perpendicular slope into point – slope form

7 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ).

8 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ). 1.

9 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ). 1. 2.

10 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ). 1. 2. 3.

11 Perpendicular Bisector of a Line EXAMPLE : Find the equation of the perpendicular bisector of the line segment with endpoints ( 0, 3 ) and ( - 3, 9 ). 1. 2. 3. 4. Substitute the midpoint and perpendicular slope into point – slope form

Download ppt "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."

Similar presentations

Unit 2 Find the Midpoint of a Line Segment Learning Goals: I can find the midpoint of a line segment by applying what I know about averages. I can solve.

Unit 2 Find the Midpoint of a Line Segment Learning Goals: I can find the midpoint of a line segment by applying what I know about averages. I can solve.
Equations of parallel, perpendicular lines and perpendicular bisectors

Equations of parallel, perpendicular lines and perpendicular bisectors
9.1 Distance Formula & Midpoint Formula

9.1 Distance Formula & Midpoint Formula
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.

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.
Warm-up 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8 x = 4 AB = 2 AM AB.

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.
Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and slope of the segment (2, 8) and (–4,

Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and slope of the segment (2, 8) and (–4,
Using properties of Midsegments Suppose you are given only the three midpoints of the sides of a triangle. Is it possible to draw the original triangle?

Using properties of Midsegments Suppose you are given only the three midpoints of the sides of a triangle. Is it possible to draw the original triangle?
Perpendicular and Angle Bisectors

Perpendicular and Angle Bisectors
©thevisualclassroom.com Medians and Perpendicular bisectors: 2.10 Using Point of Intersection to Solve Problems Centroid: Intersection of the medians of.

©thevisualclassroom.com Medians and Perpendicular bisectors: 2.10 Using Point of Intersection to Solve Problems Centroid: Intersection of the medians of.
10.2 Perpendicular Lines.

10.2 Perpendicular Lines.
Parallel & Perpendicular Lines

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

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

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.
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.

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.

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.

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.

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

Distance and Midpoints
The Distance and Midpoint Formulas p. 589. Geometry Review! What is the difference between the symbols AB and AB? Segment AB The length of Segment AB.

The Distance and Midpoint Formulas p Geometry Review! What is the difference between the symbols AB and AB? Segment AB The length of Segment AB.
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.

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.

Similar presentations

Ads by Google