SlideShare a Scribd company logo
Parallel Lines and PlanesParallel Lines and Planes
You will learn to describe relationships among lines,
parts of lines, and planes.
In geometry, two lines in a plane that are always the same
distance apart are ____________.parallel lines
No two parallel lines intersect, no matter how far you extend them.
Parallel Lines and PlanesParallel Lines and Planes
Definition of
Parallel
Lines
Two lines are parallel iff they are in the same plane and
do not ________.intersect
Parallel Lines and PlanesParallel Lines and Planes
Planes can also be parallel.
The shelves of a bookcase are examples of parts of planes.
The shelves are the same distance apart at all points, and do not appear to
intersect.
They are _______.parallel
In geometry, planes that do not intersect are called _____________.parallel planes
Q
J
K
M
L
S
R
P
Plane PSR || plane JML
Plane JPQ || plane MLR
Plane PJM || plane QRL
Parallel Lines and PlanesParallel Lines and Planes
Sometimes lines that do not intersect are not in the same plane.
These lines are called __________.skew lines
Definition of
Skew
Lines
Two lines that are not in the same plane are skew iff
they do not intersect.
Parallel Lines and PlanesParallel Lines and Planes
A
CB
E
G
H
D
F
Name the parts of the figure:
1) All planes parallel to plane ABF
2) All segments that intersect DH
3) All segments parallel to CD
4) All segments skew to AB
Plane DCG
AD, CD, GH, AH, EH
AB, GH, EF
DH, CG, FG, EH
4 1 parallel lines lesson
4 1 parallel lines lesson

More Related Content

PPT
Line and Angles
PPT
Line & Angles
PPT
Line and Angles I
PPT
Line & Angles 1
DOCX
G6 m3-c-lesson 16-t
PPTX
area of tirangle and parallelograms
PDF
Symmetry
PPTX
9.4 proportional parts and triangles lesson
Line and Angles
Line & Angles
Line and Angles I
Line & Angles 1
G6 m3-c-lesson 16-t
area of tirangle and parallelograms
Symmetry
9.4 proportional parts and triangles lesson

What's hot (20)

PPTX
Line and mirror symmetry
PPTX
Math 7 geometry 02 postulates and theorems on points, lines, and planes
PPT
Postulates (Geometry 1_3)
PPTX
Parallel Line
PDF
Lu decomposition
PPT
4 2 & 4-3 parallel lines and transversals
PPTX
4 4 proving lines parallel
PPTX
Unit 1 foundations of geometry
PDF
1.3.2A Parallel Lines
PPT
Basic on Postulates
PPT
Parallel Lines & the Triangle Angle-Sum Theorem
PPS
3-6 Congruent Angles
PPTX
1 4 geometry postulates
PPTX
Pairs of angles formed by parallel lines cut by a transversal
PDF
PDF
3.9.4 Similar Triangle Properties
PPTX
Parallel lines cut by a transversal vocaulary
PPTX
Parallel Line Properties
PPT
1 5 Postulates And Theorems Relating Points, Lines Filled In
Line and mirror symmetry
Math 7 geometry 02 postulates and theorems on points, lines, and planes
Postulates (Geometry 1_3)
Parallel Line
Lu decomposition
4 2 & 4-3 parallel lines and transversals
4 4 proving lines parallel
Unit 1 foundations of geometry
1.3.2A Parallel Lines
Basic on Postulates
Parallel Lines & the Triangle Angle-Sum Theorem
3-6 Congruent Angles
1 4 geometry postulates
Pairs of angles formed by parallel lines cut by a transversal
3.9.4 Similar Triangle Properties
Parallel lines cut by a transversal vocaulary
Parallel Line Properties
1 5 Postulates And Theorems Relating Points, Lines Filled In
Ad

Viewers also liked (20)

PPT
4 5 slope
PPT
4 6 equations of lines
PPT
5 4 congruent triangles
PPT
5 1 classifying triangles
PPT
Geom 5.5 SSS and SAS
PPTX
Geometry 5-6 ASA and AAS
PPT
Sum Of The Angles Of A Triangle
PPT
1 1 patterns and inductive reasoning lesson
PPTX
Lead generation
PPTX
4 triangles
PDF
Algebra Important Formulae -x std
PPTX
Angles and triangles in hindi
PDF
Geometry formula sheet
PDF
Maths Top 50 Formulas
PDF
Formula sheet
PDF
Algebra formulas
PDF
Geometry formula-sheet
PDF
Notes and formulae mathematics
PPSX
Mathematics Basic Formulae
PDF
Formula book
4 5 slope
4 6 equations of lines
5 4 congruent triangles
5 1 classifying triangles
Geom 5.5 SSS and SAS
Geometry 5-6 ASA and AAS
Sum Of The Angles Of A Triangle
1 1 patterns and inductive reasoning lesson
Lead generation
4 triangles
Algebra Important Formulae -x std
Angles and triangles in hindi
Geometry formula sheet
Maths Top 50 Formulas
Formula sheet
Algebra formulas
Geometry formula-sheet
Notes and formulae mathematics
Mathematics Basic Formulae
Formula book
Ad

Similar to 4 1 parallel lines lesson (14)

PPT
1 4 segments, rays, parallel lines and planes
PPT
1 4 segments, rays, parallel lines and planes
PPT
Skew lines
PPT
3 Transversal Lines in Two Parallel Lines.ppt
PPTX
Points, Lines, Rays & Planes
PPTX
3.1 Identifying Lines - PPT.pptx yh xhfjchxbxj
PPTX
Pink Green Bright Aesthetic Playful Math Class Presentation.pptx
DOC
Lesson 7 4 classifying lines
PPT
Geom 3point1and2
PPT
Geom 3point1and2
PDF
PPTX
PPTX
Planes, Lines and Transversals
PDF
Lesson 4: Lines, Planes, and the Distance Formula
1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes
Skew lines
3 Transversal Lines in Two Parallel Lines.ppt
Points, Lines, Rays & Planes
3.1 Identifying Lines - PPT.pptx yh xhfjchxbxj
Pink Green Bright Aesthetic Playful Math Class Presentation.pptx
Lesson 7 4 classifying lines
Geom 3point1and2
Geom 3point1and2
Planes, Lines and Transversals
Lesson 4: Lines, Planes, and the Distance Formula

More from gwilson8786 (20)

PPTX
12 3 volume of prisms, cylinders, pyramids & cones
PPTX
12 2 surface area of solids
PPT
1.1 writing algebraic expressions lesson
PPT
9 3 multiplying polynomials by monomials lesson
PPT
6 1 relations lesson
PPT
5 6 probability and odds lesson
PPT
5 3 percent proportion
PPT
4 1 multiplying rational numbers examples
PPT
4 1 multiplying rational numbers examples
PPT
3 2 adding and subtracting rational numbers lesson
PPT
2.1 graphing integers on a number line lesson
PPT
2.1 graphing integers on a number line lesson
PPT
1.2 order of operations lesson
PPT
1.1 writing expressions and equations lesson
PPT
13 4 tangent ratio lesson
PPT
14 5 segment measures lesson
PPT
14 4 secant-tangent angles
PPTX
14 3 secant angles lesson
PPT
14 2 tangents to a circle lesson
PPT
14 1 inscribed angles and intercepted arcs
12 3 volume of prisms, cylinders, pyramids & cones
12 2 surface area of solids
1.1 writing algebraic expressions lesson
9 3 multiplying polynomials by monomials lesson
6 1 relations lesson
5 6 probability and odds lesson
5 3 percent proportion
4 1 multiplying rational numbers examples
4 1 multiplying rational numbers examples
3 2 adding and subtracting rational numbers lesson
2.1 graphing integers on a number line lesson
2.1 graphing integers on a number line lesson
1.2 order of operations lesson
1.1 writing expressions and equations lesson
13 4 tangent ratio lesson
14 5 segment measures lesson
14 4 secant-tangent angles
14 3 secant angles lesson
14 2 tangents to a circle lesson
14 1 inscribed angles and intercepted arcs

4 1 parallel lines lesson

  • 1. Parallel Lines and PlanesParallel Lines and Planes You will learn to describe relationships among lines, parts of lines, and planes. In geometry, two lines in a plane that are always the same distance apart are ____________.parallel lines No two parallel lines intersect, no matter how far you extend them.
  • 2. Parallel Lines and PlanesParallel Lines and Planes Definition of Parallel Lines Two lines are parallel iff they are in the same plane and do not ________.intersect
  • 3. Parallel Lines and PlanesParallel Lines and Planes Planes can also be parallel. The shelves of a bookcase are examples of parts of planes. The shelves are the same distance apart at all points, and do not appear to intersect. They are _______.parallel In geometry, planes that do not intersect are called _____________.parallel planes Q J K M L S R P Plane PSR || plane JML Plane JPQ || plane MLR Plane PJM || plane QRL
  • 4. Parallel Lines and PlanesParallel Lines and Planes Sometimes lines that do not intersect are not in the same plane. These lines are called __________.skew lines Definition of Skew Lines Two lines that are not in the same plane are skew iff they do not intersect.
  • 5. Parallel Lines and PlanesParallel Lines and Planes A CB E G H D F Name the parts of the figure: 1) All planes parallel to plane ABF 2) All segments that intersect DH 3) All segments parallel to CD 4) All segments skew to AB Plane DCG AD, CD, GH, AH, EH AB, GH, EF DH, CG, FG, EH