7-1 Points, Lines, and Planes Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day
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 Course Points, Lines, and Planes plane or rectangle
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. Course Points, Lines, and Planes
Learn to describe figures by using the terms of geometry. Course Points, Lines, and Planes
Vocabulary point line plane line segment ray Insert Lesson Title Here Course Points, Lines, and Planes
Course Points, Lines, and Planes The building blocks of geometry are points, lines, and planes. 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 A point is an exact location. Ppoint 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.
Course 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 Five points are labeled: points M, N, P, Q, and R. B. two lines PR and NR You can also write RP and RN. Q N P RM
Course 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 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. Point R is a point on PR and NR. Q N P RM
Course 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. B. two lines UW and SW You can also write WU and WS. V S U W T
Course 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 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. Point W is a point on WS and WU. V S U W T
Course 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.
Course 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 B. three ways to name the line You can also write BA, CB, and CA. AB, BC, and AC You can also write BA, CB, and CA. AB, BC, and AC C A B
Course 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 D. another name for ray AB A is still the endpoint. C is another point on the ray. AB, AC, BC, CB, CA, and BA AC C A B
Course 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 B. three ways to name the line You can also write ED, FE, and FD. DE, EF, and DF You can also write ED, FE, and FD. DE, EF, and DF F D E
Course Points, Lines, and Planes Try This: Example 2C & 2D Use the diagram to give a possible name to each figure. C. six different rays D. another name for ray DE D is still the endpoint. F is another point on the ray. DE, EF, DF, FE, FD, and ED DF F D E
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 Insert Lesson Title Here Possible answer: F Possible answer: plane AEC Course Points, Lines, and Planes Possible answer: AD, CE