intersecting geometric figures in the plane

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# intersecting geometric figures in the plane - PowerPoint PPT Presentation

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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Presentation Transcript

### intersecting geometric figures in the plane

How many points of intersection

can two figures have?

In how many points can these two triangles intersect?

The two triangles can also intersect in a segment

Describe the intersection

of two geometric figures

A point

An acute angle

A segment

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

Look at the two figures. Which could not

describe the intersection of these figures?

a) a line segment

c) a right angle

b) a point

Draw a rectangle

and a triangle

intersecting in

exactly six points.

Draw a rectangle and a triangle

intersecting in exactly six points.

Draw a triangle and a circle

intersecting in exactly:

One point

Two Points

Three points

Four points

Yes!

Can a triangle and circle intersect in exactly six points?

Maximum number of points

of intersection

Two pentagons?

Two triangles?

Two circles?

Maximum number of points

Two circles?

Two triangles?

Two pentagons?

2

6

10

If a line intersects a triangle in one point,

what is special about that point?

If a line intersects a triangle in one point,

what is special about that point?

The point is a vertex

of the triangle.

Is there a pattern?

Maximum number of points of intersection:

2 triangles

2 rectangles

2 pentagons

8

10

6

. . .

2 hexagons?

2 heptagons?

2 octagons?

16 points

THE END

By Sandy Christen

Oak Ridge Schools