Locus: Equidistant from Two Points

3
Locus: Equidistant from Two Points The locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.

description

The locus of points equidistant from two points, P and Q , is the perpendicular bisector of the line segment determined by the two points. Locus: Equidistant from Two Points. - PowerPoint PPT Presentation

Transcript of Locus: Equidistant from Two Points

Page 1: Locus: Equidistant from Two Points

Locus:Equidistant from Two Points

The locus of points equidistant from two points, P and Q, is the perpendicular bisector of the line segment determined by the two points.

Page 2: Locus: Equidistant from Two Points

Question: You are playing a game of paint ball.  Two of your friends are hiding behind trees that are 10 feet apart.  Where could you possibly stand so that your firing

range to each friend is exactly the same distance?

 

Page 3: Locus: Equidistant from Two Points

Answer:Many spots. Notice the formation of the isosceles triangles, where the congruent (equal) sides represent the distances to each friend.The different positions where you might stand form the locus of points equidistant from your two friends.  This line is the perpendicular bisector of the segment joining your two friends.

Source:http://regentsprep.org/regents/math/locusTpt/LocusPTS.htm


© 2010 Carnegie Learning, Inc. - Oak Park Geometry …ophsgc.weebly.com/uploads/1/3/2/9/13299817/geometry...Recall that a circle is a locus of points on a plane equidistant from a

© 2010 Carnegie Learning, Inc. - Oak Park Geometry …ophsgc.weebly.com/uploads/1/3/2/9/13299817/geometry...Recall that a circle is a locus of points on a plane equidistant from a

A Few Points to Make (Zeros/Poles, Root Locus, Steady-state error)

A Few Points to Make (Zeros/Poles, Root Locus, Steady-state error)

Geometry: Locus of Points - Math Plane Locus of Points Notes, Examples, and Practice Quiz (with Solutions) Topics include circles, equidistance theorem, compound locus of

Geometry: Locus of Points - Math Plane Locus of Points Notes, Examples, and Practice Quiz (with Solutions) Topics include circles, equidistance theorem, compound locus of

P1: FXS/ABE P2: FXS CHAPTER 17 - cambridge.edu.au...points equidistant from the points A(4,0) and B(2,0) lie on the line with equation x = 3. A locus is a set of points which satisfy

P1: FXS/ABE P2: FXS CHAPTER 17 - cambridge.edu.au...points equidistant from the points A(4,0) and B(2,0) lie on the line with equation x = 3. A locus is a set of points which satisfy

Section 2.4 – Circles Circle – a set of points in a plane that are equidistant from a fixed point.

Section 2.4 – Circles Circle – a set of points in a plane that are equidistant from a fixed point.

HDLSS Asy’s: Geometrical Represent’n Assume, let Study Subspace Generated by Data Hyperplane through 0, ofdimension Points are “nearly equidistant to 0”,

HDLSS Asy’s: Geometrical Represent’n Assume, let Study Subspace Generated by Data Hyperplane through 0, ofdimension Points are “nearly equidistant to 0”,

Scalene Salience - aitnaruaitnaru.org/images/Scalene_Salience.pdfScalenity Octavo Squared circle geometry that speaks for itself. EPIC Scalenity Equidistant Points Inside Circles HS

Scalene Salience - aitnaruaitnaru.org/images/Scalene_Salience.pdfScalenity Octavo Squared circle geometry that speaks for itself. EPIC Scalenity Equidistant Points Inside Circles HS

Chapter 10.6. Circle A set of all points equidistant from the center.

Chapter 10.6. Circle A set of all points equidistant from the center.

 · A circle is a set of points (a locus) which are equidistant from a fixed point called the 'centre'. The distance from the centre to any point on the circle is called the 'radius'.

 · A circle is a set of points (a locus) which are equidistant from a fixed point called the 'centre'. The distance from the centre to any point on the circle is called the 'radius'.

Sphere: is the locus (collection) of points in space that ...

Sphere: is the locus (collection) of points in space that ...

Developing and Piloting a DGS Based Unit for Overcoming ... · Learning Locus of Points Noura Moh’d Hilal Nackouzi Abstract The concept of “locus” is often considered confusing

Developing and Piloting a DGS Based Unit for Overcoming ... · Learning Locus of Points Noura Moh’d Hilal Nackouzi Abstract The concept of “locus” is often considered confusing

parabola is the set of all points equidistant from a line

parabola is the set of all points equidistant from a line

't...Locus of Points and Intersection of Loci Givenpoints A(2, -3), B(2, 9), e(8, -3) ... Drawa diagram to find the locus of-points that satisfy the conditions. Then describe the locus

't...Locus of Points and Intersection of Loci Givenpoints A(2, -3), B(2, 9), e(8, -3) ... Drawa diagram to find the locus of-points that satisfy the conditions. Then describe the locus

A Few Points to Make (Zeros/Poles, Root Locus, Steady-state error)

A Few Points to Make (Zeros/Poles, Root Locus, Steady-state error)

a set of points equidistant from a central point€¦ · 9.1 Notes.notebook 2 May 15, 2017

a set of points equidistant from a central point€¦ · 9.1 Notes.notebook 2 May 15, 2017

Root Locus Method. Root Locus Method Root Locus Method.

Root Locus Method. Root Locus Method Root Locus Method.

Loci Objectives: Grade DUnderstand the idea of a locus Grade CConstruct accurately loci, such as those of points equidistant from two fixed points Solve.

Loci Objectives: Grade DUnderstand the idea of a locus Grade CConstruct accurately loci, such as those of points equidistant from two fixed points Solve.

Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a.

Proving Points on a Perpendicular Bisector EQ: Are points on a perpendicular bisector equidistant from the enpoints? Assessment: Students will write a.

LOCI - virtuallearningacademy.net · Loci locus – A locus is the set of all points that satisfy a given condition or set of conditions. loci (pronunciation – “low – sigh”)

LOCI - virtuallearningacademy.net · Loci locus – A locus is the set of all points that satisfy a given condition or set of conditions. loci (pronunciation – “low – sigh”)

Lec 10. Root Locus Analysis II More about the root locus –Breakin and Breakaway Points –Departure and Arrival Angles –Cross Points of j! Axis Magnitude.

Lec 10. Root Locus Analysis II More about the root locus –Breakin and Breakaway Points –Departure and Arrival Angles –Cross Points of j! Axis Magnitude.