Two or more geometric figures intersect if they have one or more points in common The intersection...
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Transcript of Two or more geometric figures intersect if they have one or more points in common The intersection...
![Page 1: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/1.jpg)
![Page 2: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/2.jpg)
![Page 3: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/3.jpg)
How many points of intersectioncan two figures have?
![Page 4: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/4.jpg)
In how many points can these two triangles intersect?
![Page 5: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/5.jpg)
In how many points can these two triangles intersect?
One?
![Page 6: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/6.jpg)
In how many points can these two triangles intersect?
Two?
![Page 7: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/7.jpg)
In how many points can these two triangles intersect?
Three?
![Page 8: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/8.jpg)
In how many points can these two triangles intersect?
Four?
![Page 9: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/9.jpg)
In how many points can these two triangles intersect?
Five?
![Page 10: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/10.jpg)
In how many points can these two triangles intersect?
Five?
![Page 11: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/11.jpg)
In how many points can these two triangles intersect?
Six?
![Page 12: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/12.jpg)
In how many points can these two triangles intersect?
The two triangles can also intersect in a segment
![Page 13: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/13.jpg)
Describe the intersection of two geometric figures
A point
An acute angle
A segment
![Page 14: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/14.jpg)
Here are some for you to try…
Look at the two figures. Which could not describe the intersection of these figures?
a) a line segmentb) a pointc) a right angled) a ray
![Page 15: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/15.jpg)
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
![Page 16: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/16.jpg)
Draw a rectangle and a triangle intersecting in
exactly six points.
![Page 17: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/17.jpg)
Draw a rectangle and a triangle intersecting in exactly six points.
Answer: (There is more than one answer!)
![Page 18: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/18.jpg)
Draw a triangle and a circle intersecting in exactly:
![Page 19: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/19.jpg)
One point Two Points
Three points Four points
![Page 20: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/20.jpg)
Can a triangle and circle intersect in exactly six points?
![Page 21: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/21.jpg)
Two circles? Two triangles? Two pentagons?
![Page 22: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/22.jpg)
Two circles? Two triangles? Two pentagons?2 6 10
![Page 23: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/23.jpg)
If a line intersects a triangle in one point,what is special about that point?
![Page 24: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/24.jpg)
If a line intersects a triangle in one point,what is special about that point?
The point is a vertexof the triangle.
![Page 25: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/25.jpg)
Is there a pattern?Maximum number of points of intersection:
2 triangles
6
2 rectangles
8
2 pentagons
10
. . .2 hexagons? 2 heptagons?
![Page 26: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/26.jpg)
2 octagons?
16 points
![Page 27: 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.](https://reader036.fdocuments.in/reader036/viewer/2022081502/551afe8255034607418b48b2/html5/thumbnails/27.jpg)
By Sandy ChristenOak Ridge Schools