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Published byNatalia Mullineaux Modified over 2 years ago

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Two or more geometric figures intersect if they have one or more points in common The intersection is the set of points that the figures have in common

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How many points of intersection can two figures have?

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In how many points can these two triangles intersect?

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One?

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

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

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

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

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

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

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

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

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

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

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

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

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Draw a triangle and a circle One pointTwo PointsThree pointsFour points Can a triangle and circle intersect in six points? intersecting in exactly:

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One pointTwo PointsThree points Four points

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Can a triangle and circle intersect in exactly six points?

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Two circles? Two triangles? Two pentagons?

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Two circles?Two triangles?Two pentagons? 2610

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

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

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

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2 octagons? 16 points

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By Sandy Christen Oak Ridge Schools

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