Points, Lines, and Planes

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Learn to describe figures by using the terms of geometry.
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Presentation transcript:

Points, Lines, and Planes 7-1 Points, Lines, and Planes Course 1 Warm Up Problem of the Day Lesson Presentation

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Warm Up What geometry term might you associate with each object? 1. a string on a guitar 2. a window 3. the tip of a pencil 4. a sheet of paper line segment plane or rectangle point plane or rectangle

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Problem of the Day Draw a clock face that includes the numerals 1–12. Draw two lines that do not intersect and that separate the clock face into three parts so that the sums of the numbers on each part are the same.

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Learn to describe figures by using the terms of geometry.

Insert Lesson Title Here Course 1 7-1 Points, Lines, and Planes Insert Lesson Title Here Vocabulary point line plane line segment ray

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes The building blocks of geometry are points, lines, and planes. A point is an exact location. P point P, P A point is named by a capital letter. A line is a straight path that line AB, AB, extends without end in A B line BA, BA opposite directions. A line is named by two points on the line. A plane is a flat surface that plane LMN, extends without end in all plane MLN, directions. plane NLM A plane is named by three points on the plane that are not on the same line. M N L

Additional Example 1A &1B: Identifying Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Additional Example 1A &1B: Identifying Points, Lines, and Planes Use the diagram to name each geometric figure. A. three points M, N, and P Q N P R M Five points are labeled: points M, N, P, Q, and R. B. two lines PR and NR You can also write RP and RN.

Additional Example 1C & 1D: Identifying Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Additional Example 1C & 1D: Identifying Points, Lines, and Planes Use the diagram to name each geometric figure. C. a point shared by two lines point R Point R is a point on PR and NR. Q N P R M D. a plane plane QRM Use any three points in the plane that are not on the same line. Write the three points in any order.

Use the diagram to name each geometric figure. Course 1 7-1 Points, Lines, and Planes Try This: Example 1A &1B Use the diagram to name each geometric figure. A. three points S, T, and U Five points are labeled: points S, T, U, V, and W. V S U W T B. two lines UW and SW You can also write WU and WS.

Use the diagram to name each geometric figure. Course 1 7-1 Points, Lines, and Planes Try This: Example 1C & 1D Use the diagram to name each geometric figure. C. a point shared by two lines point W Point W is a point on WS and WU. V S U W T D. a plane plane VUT Use any three points in the plane that are not on the same line. Write the three points in any order.

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes A line segment is a line segment XY, XY, made of two endpoints Y line segment YX, YX and all the points between X the endpoints. A line segment is named by its endpoints. A ray has one endpoint. ray JK, JK From the endpoint, the ray J K extends without end in one direction only. A ray is named by its endpoint first followed by another point on the ray.

Additional Example 2A & 2B: Identifying Line Segments and Rays Course 1 7-1 Points, Lines, and Planes Additional Example 2A & 2B: Identifying Line Segments and Rays Use the diagram to give a possible name to each figure. A. three different line segments C A B AB, BC, and AC You can also write BA, CB, and CA. B. three ways to name the line AB, BC, and AC You can also write BA, CB, and CA.

Additional Example 2C & 2D: Identifying Line Segments and Rays Course 1 7-1 Points, Lines, and Planes Additional Example 2C & 2D: Identifying Line Segments and Rays Use the diagram to give a possible name to each figure. C. six different rays C A B AB, AC, BC, CB, CA, and BA D. another name for ray AB AC A is still the endpoint. C is another point on the ray.

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Try This: Example 2A & 2B Use the diagram to give a possible name to each figure. A. three different line segments F D E DE, EF, and DF You can also write ED, FE, and FD. B. three ways to name the line DE, EF, and DF You can also write ED, FE, and FD.

Points, Lines, and Planes Course 1 7-1 Points, Lines, and Planes Try This: Example 2C & 2D Use the diagram to give a possible name to each figure. C. six different rays F D E DE, EF, DF, FE, FD, and ED D. another name for ray DE DF D is still the endpoint. F is another point on the ray.

Points, Lines, and Planes Insert Lesson Title Here Course 1 7-1 Points, Lines, and Planes Insert Lesson Title Here Lesson Quiz Use the diagram to name each geometric figure. 1. three points 2. two lines 3. a point shared by a line and a ray 4. a plane Possible answer: A, B, C Possible answer: AD, CE Possible answer: F Possible answer: plane AEC