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Geometry Basics: Points, Lines, and Planes Exploration

Explore the concepts of points, lines, and planes in geometry. Learn to identify collinear and coplanar points, as well as naming planes correctly. Use Khan Academy for interactive learning. Classwork and homework assignments provided for practice.

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Geometry Basics: Points, Lines, and Planes Exploration

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  1. 1.2 Points, Lines, and Planes

  2. Warmup - • ENTER ROOM # 195236 • In your groups, see if you can figure out the pattern..answer in Socrative • 2, 6, 7, 21, 22, 66, 67 ___, ___ • 1, 3, 7, 15, 31, ___, ___

  3. Learning Target • I can identify if points are collinear or coplanar given a geometric figure.

  4. Point – a location; a point has no size and it is represented by a small dot and is named by a capital letter.

  5. Line – a series of points that extend in opposite directions without end. It is named by any two points on the line. EX: • Collinear – points that lie on the same line. Any two points are collinear.

  6. Need to know • Through any two points there is exactly one line. • If two lines intersect, then they intersect in exactly one point.

  7. Identifying Collinear Points

  8. Plane – a flat surface that has no thickness. A plane contains many lines and extends without end in the directions of all its lines. A plane is named by either a single capital letter or by at least 3 non-collinear points.

  9. Coplanar – points and lines in the same plane Any three points are coplanar

  10. Naming a Plane • Lets practice naming a plane.

  11. NEED to KNOW • If two planes intersect, then they intersect in exactly one line.

  12. Naming a Plane • Lets practice finding the intersection of two planes.

  13. Don’t forget about diagonal planes • Remember, 2 lines intersect at a point and 2 planes intersect at a line. • Remember through any 2 points is a line, through any 3 non-collinear points is a plane.

  14. Khan Academy • Using your smart phone or tablet, go to the Khan Academy, • Geometry • Points, lines, planes, • Points, lines, planes again • Get 5 right in a row and show one of us that you get it.

  15. Classwork/Homework • 1-2 Practice Worksheet skip #9

  16. Homework, Due tomorrow • P. 13-14 #1-43

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