Points Lines and Planes in Geometry is the lesson that many teachers skip or fly through because they “assume” (in huge air quotes) that the students know what these things are before they get to high school geometry. Unfortunately without a great understanding of points lines and planes, it’s almost impossible for them to grasp the tougher stuff.
1.) Points
One great way to start your points lines and planes in geometry lesson is to tell them to actually draw a point either on their paper or have one student draw it on the board. Them ask a different student to measure the length and with of the point with a ruler. They will do it or try to do it and give actual numbers. Then you question them. If a point has no dimensions then how did you just give me measurements? This is where you explain that a point in geometry is a location. You can’t actually draw it because the second you put your pencil on paper you can measure it. This is a great place to transition into an explanation of what Dimensions are!
Points have no dimensions!
2.) Lines
Lines are one dimensional!
3.) Planes
Planes are two dimensional!
Here is a Video to help without just using a Points Lines and Planes Worksheet!
Points Lines and Planes Guided Notes
In geometry, some words, such as point, line, and plane, are undefined terms. Although these words are not formally defined, it is important to have a general agreement about what each word means.
Point
A point has no dimension. It is usually represented by a small dot and named by a capital letter.
Line
A line extends in one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions, and is named by two points on the line or a lowercase script letter.
Plane
A plane extends in two dimensions. It is usually represented by a shape that looks like a tabletop or wall. You must imagine that the plane extends without end, even though the drawing of a plane appears to have edges, and is named by a capital script letter or 3 noncollinear points.
Line Segment
A line segment is a set of points and has a specific length i.e. it does not extend indefinitely. It has no thickness or width, is usually represented by a straight line with no arrowheads to indicate that it has a fixed length, and is named by two points on the line segment with a line segment symbol above the letters.
Ray
A ray is a set of points and extends in one dimension in one direction (not in two directions). It has no thickness or width, is usually represented by a straight line with one arrowhead to indicate that it extends without end in the direction of the arrowhead, and is named by two points on the ray with a ray symbol above the letters.
Collinear Points
Collinear points are points that lie on the same line.
Coplanar Points
Coplanar points are points that lie on the same plane.
Sample Problem 1:
Use the figure to name each of the following.
Two or more geometric figures intersect if they have one or more points in common. The intersection of the figures is the set of points the figures have in common.
Postulate 11
Through any two points, there is exactly one line.
Postulate 12
If two distinct lines intersect, then they intersect at exactly one point.
Postulate 13
If two distinct planes intersect, then they intersect in exactly one line.
Postulate 14
Through any three noncollinear points there is exactly one plane.
Here are your Free Point Lines and Planes Worksheets and Materials for this Lesson!
Worksheets – Word Docs & PowerPoints
Click the links below to access the resources.
12 Assignment (FREEBIE) 12 Bell Work (FREEBIE) 12 Exit Quiz (FREEBIE) 12 Guide Notes Student Edition (FREEBIE) 12 Guided Notes Teacher Edition ( Members Only ) 12 Lesson Plan (FREEBIE) 12 Online Activities (FREEBIE) 12 Slide Show (FREEBIE)
Activities PDF Files
12 Assignment (FREEBIE) 12 Assignment SE (FREEBIE) 12 Bell Work (FREEBIE) 12 Bell Work SE (FREEBIE) 12 Exit Quiz (FREEBIE) 12 Exit Quiz SE (FREEBIE) 12 Guide Notes SE (FREEBIE) 12 Guided Notes Teacher Edition ( Members Only ) 12 Lesson Plan (FREEBIE) 12 Online Activities (FREEBIE) 12 Slide Show (FREEBIE)
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