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1D_PointsLinesPlanes
1
August 22, 2012
Geometry Lesson 1DPoints, Lines, and PlanesTLW describe and model geometric objects that build the foundations of geometry.
+Bell Work
Bell Work Bell Work
3. Student A asks questions when he doesn't understand, comes in for help after school, and turns in all homework assignments.
Write a conjecture about the grades Student A will earn at the end of the semester.
Evaluate
1D_PointsLinesPlanes
2
August 22, 2012
Bell Work
Simplify.Pointhas no dimensiona location in spaceWe name points using capital letters
AB
C
LineName lines using two points
or
with a single script letter
by definition all lines are straighta line continues forever in two directions2 points define a line
Segment
a finite portion of a linea segment has two endpointsWe name a segment using two points
1D_PointsLinesPlanes
3
August 22, 2012
rayalso part of a line, but an infinite parta ray has one endpoint and continues forever in one direction
We name rays starting with the endpoint and then another point
RK
EF
Opposite rays
have the same endpoint but go in opposite directionsthey form a line
C BA
How long is a line?
How many points are on a line?
How many points determine a line?
1D_PointsLinesPlanes
4
August 22, 2012
How many points are on a line segment?
How many points determine a line segment?
What is the length of a ray?
How many points are on a ray?
How many points determine a ray?
collinear
being on the same line
Is it possible to draw two points that are not on the same line?
Is it possible to draw three points that are not on the same line?
How about four?
A
K
M E
F
B Y
1) Name three lines.
2) Name three rays.
3) Name four segements.
4) Where do these two lines intersect?
Draw the following items in your notes.
1) Draw JK and EF such that they intersect at point X.
2) Draw lines m and n that intersect at point Q.
3) Draw K,S on line r.
1D_PointsLinesPlanes
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August 22, 2012
planeAn infinite flat surface that extends in all directionsIt has no depth or boundariesWe name a plane using 3 points or a single capital letter
P
AB
C
coplanarThings that lie on the same plane.Points, lines, segments, rays, figures, etc.
P
1) How many points are on a plane?
2) How large is a plane?
3) How many points determine a plane?
intersectWhen two lines intersect, what do they form?
When two planes intersect, what do they form?
When a plane and a line intersect what do they form?
1D_PointsLinesPlanes
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August 22, 2012
Draw plane P and line m such that there is exactly 1 intersection point.
Draw plane Q and line n such that there are NO intersection points.
Draw plane R and line k such that there are infinitely many intersection points.
Draw plane S and line j such that there are at least 1 intersection point.
Sketch a plane and label it plane T. Show points R and S that lie on the plane and point Q that does not lie on plane T.
Sketch line b that intersects plane A at exactly one point.
