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intersecting geometric figures in the plane

intersecting geometric figures in the plane. How many points of intersection can two figures have?. In how many points can these two triangles intersect?. In how many points can these two triangles intersect?. One?. In how many points can these two triangles intersect?. Two?.

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intersecting geometric figures in the plane

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  1. intersecting geometric figures in the plane

  2. How many points of intersection can two figures have?

  3. In how many points can these two triangles intersect?

  4. In how many points can these two triangles intersect? One?

  5. In how many points can these two triangles intersect? Two?

  6. In how many points can these two triangles intersect? Three?

  7. In how many points can these two triangles intersect? Four?

  8. In how many points can these two triangles intersect? Five?

  9. In how many points can these two triangles intersect? Five?

  10. In how many points can these two triangles intersect? Six?

  11. In how many points can these two triangles intersect? The two triangles can also intersect in a segment

  12. Describe the intersection of two geometric figures A point An acute angle A segment

  13. Here are some for you to try… Look at the two figures. Which could not describe the intersection of these figures? • a line segment • a point • a right angle • a ray

  14. Look at the two figures. Which could not describe the intersection of these figures? Answer: d) a ray a) a line segment c) a right angle b) a point

  15. Draw a rectangle and a triangle intersecting in exactly six points.

  16. Draw a rectangle and a triangle intersecting in exactly six points. Answer: (There is more than one answer!)

  17. Draw a triangle and a circle intersecting in exactly:

  18. One point Two Points Three points Four points

  19. Yes! Can a triangle and circle intersect in exactly six points?

  20. Maximum number of points of intersection Two pentagons? Two triangles? Two circles?

  21. Maximum number of points Two circles? Two triangles? Two pentagons? 2 6 10

  22. If a line intersects a triangle in one point, what is special about that point?

  23. If a line intersects a triangle in one point, what is special about that point? The point is a vertex of the triangle.

  24. Is there a pattern? Maximum number of points of intersection: 2 triangles 2 rectangles 2 pentagons 8 10 6 . . . 2 hexagons? 2 heptagons?

  25. 2 octagons? 16 points

  26. THE END By Sandy Christen Oak Ridge Schools

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