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Course 1
8-1 Building Blocks of Geometry8-1 Building Blocks of Geometry
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Course 1
8-1 Building Blocks of Geometry
Warm UpSolve
1. x + 1 = 5
2. 2 = 2x
3. x – 7 = 6
4. =
14
1 31
2 2
3x
3
4 5
32 3
11 4
22 5
1 3
Course 1
8-1 Building Blocks of Geometry
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 1
8-1 Building Blocks of Geometry
Learn to describe figures by using the terms of geometry.
Course 1
8-1 Building Blocks of Geometry
Vocabulary
pointlineplaneline segmentray
Course 1
8-1 Building Blocks of Geometry
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. 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.
Course 1
8-1 Building Blocks of Geometry
Additional Example 1: Identifying Points, Lines, and Planes
Use the diagram to name the geometric figure.
A. three pointsM, N, and PFive 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
R M
Course 1
8-1 Building Blocks of Geometry
Additional Example 1: Identifying Points, Lines, and Planes
Use the diagram to name the geometric figure.
C. a point shared by two linespoint R
D. a plane
plane QRMUse 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
R M
Course 1
8-1 Building Blocks of Geometry
Check It Out: Example 1
Use the diagram to name the geometric figure.
A. three pointsS, T, and UFive 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 1
8-1 Building Blocks of Geometry
Check It Out: Example 1
Use the diagram to name the geometric figure.
C. a point shared by two linespoint W
D. a plane
plane VUTUse 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 1
8-1 Building Blocks of Geometry
A line segment is 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 1
8-1 Building Blocks of Geometry
Additional Example 2: Identifying Line Segments and Rays
Use the diagram to give a possible name to the figure.
A. three different line segments
B. three ways to name the line
You can also write BA, CB, and CA.
AB, BC, and ACYou can also write BA, CB, and CA.
AB, BC, and AC C
A B
Course 1
8-1 Building Blocks of Geometry
Additional Example 2: Identifying Line Segments and Rays
Use the diagram to give a possible name to the figure.
C. six 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 1
8-1 Building Blocks of Geometry
Check It Out: Example 2
Use the diagram to give a possible name to the figure.
A. three different line segments
B. three ways to name the line
You can also write ED, FE, and FD.
DE, EF, and DFYou can also write ED, FE, and FD.
DE, EF, and DFF
DE
Course 1
8-1 Building Blocks of Geometry
Check It Out: Example 2
Use the diagram to give a possible name to the figure.
C. six 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
DE
Course 1
8-1 Building Blocks of Geometry
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: F
Possible answer: plane AEC
Possible answer: AD, CE
