Bellringer: Thursday, August 13
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Unit 1 – Tools of Geometry (Points, Lines and Planes)
Learning Targets
Basic Definitions – I know precise definitions of a point, line,
plane, collinear points, coplanar, segment, ray, opposite rays,
midpoint, segment bisector, congruent segments, angle,
sides, vertex, measure, obtuse, right, acute, congruent
angles, different angle pairs, the Angle Addition Postulate,
angle bisector. G.CO1
Vertical Angles – I know how to recognize vertical angles and
their relationship to one another. G.CO9
Midpoint and Distance Formula – I know how to use the
midpoint and distance formulas in the coordinate plane.
G.GPE4; G.GPE6
Naming – I know how to name each of the following: a point,
line, plane, collinear points, coplanar, segment, ray, and
opposite rays. G.CO1
Postulate/Axiom – I know what these terms mean and how
they are used in mathematics. G.CO1
Naming Intersections – I know how to name the intersections
made between lines, planes, etc. G.CO1
Assessment Dates Assessment
Name
Assessment Score Assessment
Weight
1.2- Points, Lines, and Planes
• Point: indicates a location and has no size
• Naming Points: represented with a capital letter
• Line: a straight path that extends in two opposite directions
forever; has infinitely many points; has no thickness
• Naming Lines: (1)choose any two points in any order, OR
(2)use a lowercase letter
• Plane: a flat surface that extends without end and contains
infininitely many lines—meaning it contains infinitely many
points; has no thickness
• Naming Planes: (1)using a capital letter OR (2) using three
different points in any order that are not collinear
• Collinear: points that lie on the same line
• Coplanar: points and lines that lie on the same plane
• Segment: part of a line that consists of two endpoints and all points
inbetween
• Naming a Segment: by the two endpoints of the segment in any
order
• Ray: part of a line that contains one endpoint and all the points on
one side of the endpoint
• Naming a Ray: first letter should be the endpoint, second letter is
any other point on the line
• Opposite Rays: two rays that share the same endpoints and travel in
opposite directions—forming a line
• Naming Opposite Rays: by the shared endpoint and another
point on the ray
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Say the slide is a plane, what are 3 names for it?
What are 3 different names for the line?
Name 3 different segments.
Name 3 different rays.
Name 3 pairs of opposite rays.
Name 3 collinear points
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HUMAN GEOMETRY
With your group, form a:
• Point
• Line
• What could we name this line?
• What points are collinear?
• Parallel lines
• Line segment
• How would we write the name of this segment?
• Ray
• How would we write the name of this ray?
• Opposite Rays
• What point is the center?
• Plane example with group and example in the room