Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those...

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Section 10-6 The Meaning of Locus

Transcript of Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those...

Page 1: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Section 10-6The Meaning of

Locus

Page 2: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Locus

A figure that is the set of all points, and only those points, that satisfy one or more conditions

Page 3: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Given line k, find the locus of points that are 1 cm from k in a plane.

k1 cm 1 cm 1 cm

1 cm 1 cm

The locus is a pair of lines parallel to, and 1 cm from, k.

Page 4: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Given line k, find the locus of points that are 1 cm from k in space.

k1 cm

The locus is a cylindrical surface with axis k and a 1 cm radius.

Page 5: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Find the locus of points in a plane 2 cm from circle O with radius 5cm.

5cm2 2

The locus of points is two concentric circles with center O, one with radius 3cm and one with radius 7cm.

Page 6: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Find the locus of points in space 2 cm from sphere O with radius 5cm.

5cm2 2

The locus of points is two concentric spheres with center O, one with radius 3cm and one with radius 7cm.

Page 7: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in a plane that are

equidistant from the endpoints of segment AB.

Page 8: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in space that are equidistant from the endpoints of segment AB.

Page 9: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in a plane that are equidistant from the sides of angle ABC.

Page 10: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in a plane that are length AB from line a.

Page 11: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in space that are length AB from line a.

Page 12: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in a plane that are midpoints of the radii

of circle O with radius 6.

Page 13: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in space that are midpoints of the radii

of sphere O with radius 6.

Page 14: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points in a plane that are

equidistant from the endpoints of diameter AB of circle O.

Page 15: Section 10-6 The Meaning of Locus. Locus A figure that is the set of all points, and only those points, that satisfy one or more conditions.

Draw and describe the locus of points on or in square WXYZ that are equidistant from all four sides.


d3jc3ahdjad7x7.cloudfront.net Geometry Draw each locus on the coordinate plane. 37 . all points 3 units from the origin 39 . all points 4 units from the y-axis 41

d3jc3ahdjad7x7.cloudfront.net Geometry Draw each locus on the coordinate plane. 37 . all points 3 units from the origin 39 . all points 4 units from the y-axis 41

A locus (pl. loci) is a Set of Points satisfying certain criteria.

A locus (pl. loci) is a Set of Points satisfying certain criteria.

10 - Mr Meyers Math - Homemrmeyersmath.weebly.com/uploads/4/9/6/9/49699347/ml_geometry_10-7... · 10.7 Locus 645 1.The radius of ›Cis 3 inches. The locus of points in the plane

10 - Mr Meyers Math - Homemrmeyersmath.weebly.com/uploads/4/9/6/9/49699347/ml_geometry_10-7... · 10.7 Locus 645 1.The radius of ›Cis 3 inches. The locus of points in the plane

Aim: How do we find the equation of the locus of points at a given distant from a given point?

Aim: How do we find the equation of the locus of points at a given distant from a given point?

Root Locus Method. Root Locus Method Root Locus Method.

Root Locus Method. Root Locus Method Root Locus Method.

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

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

Geometry Fall 2011 Lesson 17 (S.A.S. Postulate)€¦  · Web viewLesson Plan #93. Class: Geometry Date: Tuesday May 5th, 2015. To. pic: Locus . Aim: How do we find a locus of points

Geometry Fall 2011 Lesson 17 (S.A.S. Postulate)€¦  · Web viewLesson Plan #93. Class: Geometry Date: Tuesday May 5th, 2015. To. pic: Locus . Aim: How do we find a locus of points

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

Geometry Fall 2011 Lesson 17 (S.A.S. Postulate)€¦  · Web viewLesson Plan #94. Class: Geometry Date: Tuesday May 17th, 2016. To. pic: Locus . Aim: How do we find a locus of points

Geometry Fall 2011 Lesson 17 (S.A.S. Postulate)€¦  · Web viewLesson Plan #94. Class: Geometry Date: Tuesday May 17th, 2016. To. pic: Locus . Aim: How do we find a locus of points

hsm11gmse 1206 t07063 - Mrs. Meyer's Math Sitewhslmeyer.weebly.com/uploads/5/8/1/8/58183903/12-6.pdf · The locus of points in the interior of In a plane, the locus of points that

hsm11gmse 1206 t07063 - Mrs. Meyer's Math Sitewhslmeyer.weebly.com/uploads/5/8/1/8/58183903/12-6.pdf · The locus of points in the interior of In a plane, the locus of points that

Geometry Points, Lines, - content.njctl.orgcontent.njctl.org/courses/math/geometry/points-lines-and-planes/... · Slide 1 / 185 Geometry Points, Lines, ... Locus & Angle Constructions

Geometry Points, Lines, - content.njctl.orgcontent.njctl.org/courses/math/geometry/points-lines-and-planes/... · Slide 1 / 185 Geometry Points, Lines, ... Locus & Angle Constructions

Chapter 6 The Root Locus Method · 2020. 11. 6. · 2 Chapter Objective. Definitionof root locus. Sketcha root locus. Refinethe sketch of root locus. Use root locus to find poles

Chapter 6 The Root Locus Method · 2020. 11. 6. · 2 Chapter Objective. Definitionof root locus. Sketcha root locus. Refinethe sketch of root locus. Use root locus to find poles

Course: Alg. 2 & Trig. Aim: Equation and Graph of Circle Do Now: What is the locus of points 4 units from a given point? The locus is a circle whose center.

Course: Alg. 2 & Trig. Aim: Equation and Graph of Circle Do Now: What is the locus of points 4 units from a given point? The locus is a circle whose center.

Aim: How can we review what a locus is and its rules? Do Now: What is the definition of a locus? A locus is a set of points that satisfies a certain condition.

Aim: How can we review what a locus is and its rules? Do Now: What is the definition of a locus? A locus is a set of points that satisfies a certain condition.

NATIONAL RADIO ASTRONOMY OBSERVATORY Green Bank, … · bola is defined as the locus of points from where the difference of the distances to two points, the foci, is constant. With

NATIONAL RADIO ASTRONOMY OBSERVATORY Green Bank, … · bola is defined as the locus of points from where the difference of the distances to two points, the foci, is constant. With

Woodrow Wilson’s 14 Points. Wilson wanted a strong yet agreeable peace arrangement Created the 14 points to satisfy this need The Point of the Treaty.

Woodrow Wilson’s 14 Points. Wilson wanted a strong yet agreeable peace arrangement Created the 14 points to satisfy this need The Point of the Treaty.

AIM: LOCUS By: Nick Woodman & Robert Walsh. Locus - in a plane is the set of all points in a plane that satisfy a given condition or a set of given.

AIM: LOCUS By: Nick Woodman & Robert Walsh. Locus - in a plane is the set of all points in a plane that satisfy a given condition or a set of given.

'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

Root Locus Method. Root Locus Motivation To satisfy transient performance requirements, it may be necessary to know how to choose certain controller parameters.

Root Locus Method. Root Locus Motivation To satisfy transient performance requirements, it may be necessary to know how to choose certain controller parameters.