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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
slide3

How many points of intersection

can two figures have?

slide12

In how many points can these two triangles intersect?

The two triangles can also intersect in a segment

slide13

Describe the intersection

of two geometric figures

A point

An acute angle

A segment

slide14

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
slide15

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

slide16

Draw a rectangle

and a triangle

intersecting in

exactly six points.

slide17

Draw a rectangle and a triangle

intersecting in exactly six points.

Answer: (There is more than one answer!)

slide18

Draw a triangle and a circle

intersecting in exactly:

slide19

One point

Two Points

Three points

Four points

slide20

Yes!

Can a triangle and circle intersect in exactly six points?

slide21

Maximum number of points

of intersection

Two pentagons?

Two triangles?

Two circles?

slide22

Maximum number of points

Two circles?

Two triangles?

Two pentagons?

2

6

10

slide23

If a line intersects a triangle in one point,

what is special about that point?

slide24

If a line intersects a triangle in one point,

what is special about that point?

The point is a vertex

of the triangle.

slide25

Is there a pattern?

Maximum number of points of intersection:

2 triangles

2 rectangles

2 pentagons

8

10

6

. . .

2 hexagons?

2 heptagons?

slide26

2 octagons?

16 points

slide27

THE END

By Sandy Christen

Oak Ridge Schools