What comes to mind when you think about geometry and its basic concepts?
Geometry was not invented by the Greeks - it was first developed in ancient Egypt and Babylon.
Did you know?
What is a line in geometry?
- A closed shape with three or more sides
- A curved shape with no endpoints
- A straight path that extends infinitely in both directions
How many points are needed to define a line?
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Can you define and name a line in geometry?
Brain break: Draw a wobbly alien with wiggly arms and three eyes sticking out its head
What is a plane in geometry?
- A solid three-dimensional figure with flat surfaces and straight edges
- A two-dimensional flat surface that extends infinitely in all directions
- A curved line that does not intersect itself
Draw and label plane DOGS
Work together in pairs: Q: What is a plane in geometry, and can you name an example?
Which of the following statements is true about collinear points?
- Collinear points are always equidistant from each other.
- Collinear points lie on the same line.
- Collinear points form a triangle.
Question: Given three points on a plane, how can you tell if they are collinear? Clues: • Remember that collinear points are all on the same line. • Look at the slope of the line connecting the points. • If the slope is the same, then the points are collinear. In pairs: Select and solve one of the tasks: A. Work in pairs to draw a set of three points that are collinear. B. Work in pairs to draw a set of three points that are noncollinear.
Which of the following statements is true about coplanar points?
- Coplanar points can be on different planes.
- Coplanar points lie on the same plane.
- Coplanar points are always collinear.
What is the maximum number of lines that can be drawn through two coplanar points?
What is the definition of collinear points?