lesson 1-1 points, lines, and planes. ohio content standards:
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Lesson 1-1Lesson 1-1Points, Lines, and PlanesPoints, Lines, and Planes
Ohio Content Standards:Ohio Content Standards:
Ohio Content Standards:Ohio Content Standards:
• Formally define geometric figures.
Ohio Content Standards:Ohio Content Standards:
• Formally define geometric figures.
• Recognize and explain the necessity for certain terms to remain undefined, such as point, line and plane
Vocabulary:Vocabulary:
Vocabulary:Vocabulary:• PointPoint::
Vocabulary:Vocabulary:• PointPoint::
simply a locationsimply a location
Vocabulary:Vocabulary:• LineLine::
Vocabulary:Vocabulary:• LineLine::
made up of made up of points and has points and has no thickness no thickness or width or width
Vocabulary:Vocabulary:• CollinearCollinear::
Vocabulary:Vocabulary:• CollinearCollinear::
points on the points on the same linesame line
Vocabulary:Vocabulary:• PlanePlane::
Vocabulary:Vocabulary:• PlanePlane::
flat surface made flat surface made up of pointsup of points
Vocabulary:Vocabulary:• CoplanarCoplanar::
Vocabulary:Vocabulary:• CoplanarCoplanar::
Points that lie on Points that lie on the same plane the same plane
Use the figure to name each of the following:
Use the figure to name each of the following:
a
J
LK
M
B
Use the figure to name each of the following:
• a line containing point K
a
J
LK
M
B
Use the figure to name each of the following:
• a line containing point K
• a plane containing point L
a
J
LK
M
B
Name the geometric shape modeled by each object.
Name the geometric shape modeled by each object.
• the long hand on a clockthe long hand on a clock
Name the geometric shape modeled by each object.
• the long hand on a clockthe long hand on a clock
• a 10 X 12 patioa 10 X 12 patio
Name the geometric shape modeled by each object.
• the long hand on a clockthe long hand on a clock
• a 10 X 12 patioa 10 X 12 patio
• the location where the corner of a the location where the corner of a driveway meets the roaddriveway meets the road
Vocabulary:Vocabulary:
Vocabulary:Vocabulary:
• Undefined termsUndefined terms::
Vocabulary:Vocabulary:
• Undefined termsUndefined terms::
terms only terms only explained using explained using examples and examples and descriptionsdescriptions
Draw and label a figure for each relationship.
Draw and label a figure for each relationship.
• plane R contains lines AB and DE, which intersect at point P. Add point C on plane R so that it is not collinear with AB or DE.
Draw and label a figure for each relationship.
• plane R contains lines AB and DE, which intersect at point P. Add point C on plane R so that it is not collinear with AB or DE.
• QR on a coordinate plane contains Q(-2, 4) and R(4, -4). Add point T so that T is collinear with these points.
D
CB
A
S
• How many planes appear in this figure?
D
CB
A
S
• How many planes appear in this figure?
• Name three points that are collinear.
D
CB
A
S
• How many planes appear in this figure?
• Name three points that are collinear.
• Are points A, B, C, and D coplanar? Explain.
D
CB
A
S
• How many planes appear in this figure?
• Name three points that are collinear.
• Are points A, B, C, and D coplanar? Explain.
• At what point do DB and CA intersect?
D
CB
A
S
Assignment:Assignment:
Pgs. 9 - 11 Pgs. 9 - 11 14 - 46 evens14 - 46 evens