geometry ch.1 notes page 1 · put e on the front and f on the back of the next page. the next page...

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Day2Geom11PointsLinesPlanesNotes.notebook 1 August 21, 2019 Jan 56:04 AM The Front & Back of the first 3 pages are the Table of Contents. In the corner of the upper margin... Put A on the Front and B on the Back of the first page Put C on the Front and D on the Back of the next page Put E on the Front and F on the Back of the next page. The next page starts with #1 on the Front. #2 goes on the next blank page after we finish with #1 notes. The title of each section goes in the Table of Contents & the Upper Margin of each page of notes. Notebook Set Up Jan 56:04 AM Example: Table of Contents and Notes Table of Contents 11 Points, Lines, and Planes A 1 1. 11 Points, Lines, and Planes Jan 89:26 AM Set up the first 3 pages in TOC and page 1 Margin. Geometry Ch.1 Notes Page 1 P1 11 Points, Lines, and Planes Jan 89:29 AM Lesson 1.1 Notes Undefined Terms: No Formal Definitions, but there is agreement about what is means. Points, Lines, and Planes… A point has ______ _______________________________. A dot represents a point. A line has ___________ _________________________________. It is represented by a line with ________ arrowheads, but it extends without end. Collinear Points: Points that lie on the ________________ ____________________ . Jan 810:35 AM Are the following sets of points collinear? 1. AB and C 2. B and F 3. EB and A Jan 810:39 AM A plane has ___________ ________________________________. It is representd by a shape that looks like a piece of paper, but with no end. Coplanar Points are points on the ____________ ____________________. Through any _______ points NOTon the same line there is exactly 1 plane.

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Page 1: Geometry Ch.1 Notes Page 1 · Put E on the Front and F on the Back of the next page. The next page starts with #1 on the Front. #2 goes on the next blank page after we finish with

Day2Geom1­1PointsLinesPlanesNotes.notebook

1

August 21, 2019

Jan 5­6:04 AM

The Front & Back of the first 3 pages are the Table of Contents.In the corner of the upper margin...Put A on the Front and B on the Back of the first pagePut C on the Front and D on the Back of the next pagePut E on the Front and F on the Back of the next page.

The next page starts with #1 on the Front.#2 goes on the next blank page after we finish with #1 notes.

The title of each section goes in the Table of Contents & the Upper Margin of each page of notes.

Notebook Set Up

Jan 5­6:04 AM

Example:  Table of Contents and Notes

Table of Contents 1­1 Points, Lines, and PlanesA 1

1.  1­1 Points, Lines, and Planes 

Jan 8­9:26 AM

Set up the first 3 pages in TOC and page 1 Margin.

GeometryCh.1 Notes Page 1P1  1­1  Points, Lines, and Planes

Jan 8­9:29 AM

Lesson 1.1 Notes

Undefined Terms:  No Formal Definitions, but there is agreement about what is means.Points, Lines, and Planes…

A point has ______ _______________________________.  A dot represents a point. 

A line has  ___________  _________________________________.  

It is represented by a line with ________ arrowheads, but it extends without end. 

Collinear Points:   Points that lie on the ________________  ____________________ .

Jan 8­10:35 AM

Are the following sets of points collinear?

1.      AB and C 2.      B and F

3.      EB and A

Jan 8­10:39 AM

A plane  has ___________  ________________________________.  

It is representd by a shape that looks like a piece of paper, but with no end.

Coplanar Points  are points on the ____________ ____________________. 

Through any _______ points NOTon the same line there is exactly 1 plane.

Page 2: Geometry Ch.1 Notes Page 1 · Put E on the Front and F on the Back of the next page. The next page starts with #1 on the Front. #2 goes on the next blank page after we finish with

Day2Geom1­1PointsLinesPlanesNotes.notebook

2

August 21, 2019

Jan 8­10:41 AM

Examples:

Refer to the diagram at the right.

4. Name plane P in another way.

5. Name plane Q in another way.

6. Are A and C collinear?

7. Are D, A, B, and C coplanar?

8. Are D and C collinear?

9. Are planes P and Q coplanar?

10. Are AB and plane Q coplanar?

Jan 8­10:44 AM

In Exercises 1–3, use the diagram.

1. Name two points.

2. Name two lines. 

3. Name the plane that contains point A, B, and E.

Jan 8­10:44 AM Jan 8­10:43 AM

Defined Terms: Described using knows words.  

Segment, Ray, and Opposite rays

A segment consists of _______________________  A and B. 

A ray consists of the endpoint A and all points that lie on the _____________  side of A as B.  

Opposite Rays 2 rays that have the same ________________________ and extend in _____________________ directions.

Jan 8­10:35 AM Jan 8­10:49 AM

4)   Name a point that is collinear with points G and H.

5)   Name a point that is not collinear with K and P.

6)   Name a point that is coplanar with G, K and P.

7)  Name the intersection of plane GHL and plane HJN.

8)  Name the intersection of plane KJN and plane KGL.

Page 3: Geometry Ch.1 Notes Page 1 · Put E on the Front and F on the Back of the next page. The next page starts with #1 on the Front. #2 goes on the next blank page after we finish with

Day2Geom1­1PointsLinesPlanesNotes.notebook

3

August 21, 2019

Jan 8­10:51 AM

HW#21­1  P8 #2­16,25­34

Please put your name and class period at the top ofthe homework.  Also include the homework number.

Jan 4­2:33 PM

Through any two points there is exactly one line.

A

B

Postulate = Axiom

Dec 17­2:05 PM

If two lines intersect, then they intersect in exactly one point.

A

n

m

line m  and line n intersect at A.

 

Dec 19­7:46 AM

If two planes intersect, then they intersect in exactly one line.

plane Q and plane P intersect in AB

 

Core Concept Example 1

a. Give two other names for       and plane R.b. Name three points that are collinear. Name four points that are coplanar.

Page 4: Geometry Ch.1 Notes Page 1 · Put E on the Front and F on the Back of the next page. The next page starts with #1 on the Front. #2 goes on the next blank page after we finish with

Day2Geom1­1PointsLinesPlanesNotes.notebook

4

August 21, 2019

Core Concept Example 2

a. Give another name for       .b. Name all rays with endpoint J. Which of these rays are opposite rays?

Monitoring Progress 2­3

Use the diagram.Give another name for       .

Are      and      the same ray? Are       and      the same ray? Explain.

Example 3

a. Sketch a plane and a line that is in the plane.b. Sketch a plane and a line that does not intersect the plane.c. Sketch a plane and a line that intersects the plane at a point.

Sketch two planes that intersect in a line.

Monitoring Progress 4­7

Use the diagram.Name the intersection of      and line k.

Name the intersection of plane A and plane B.

Name the intersection of line k and plane A.

Example 5

The diagram shows a molecule of sulfur hexafluoride, the most potent greenhouse gas in the world. Name two different planes that contain line r.

Page 5: Geometry Ch.1 Notes Page 1 · Put E on the Front and F on the Back of the next page. The next page starts with #1 on the Front. #2 goes on the next blank page after we finish with

Day2Geom1­1PointsLinesPlanesNotes.notebook

5

August 21, 2019

Closure

Sketch and label the cube as shown. Ask students to identify segments, intersecting lines, intersecting planes, a line not on a plane, and so on.