Circumcenter - Math with Mrs. Brownahsmrsbrown.weebly.com/uploads/1/2/7/4/12749708/triangle... · 2020-03-15 · Circumcenter The Circumcenter of a triangle is the point in the plane

triangles.notebook

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November 16, 2012

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CircumcenterThe Circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle. In order to find the Circumcenter of a triangle, first find the three midpoints of the triangle and then use these midpoints to find the perpendicular bisectors of each side of the triangle. The intersection of the three perpendicular bisectors will be the Circumcenter. See the triangle XYZ below.

The Circumcenter of a triangle is the center of the circumscribed circle of that triangle. See the triangle XYZ again below, displaying the Circumcenter, C, and the circumscribed circle.

Oct 239:12 PM

IncenterThe Incenter of a triangle is the point on the interior of the triangle that is equidistant from the three sides. It can be found by bisecting all three of the angles within a triangle. The point of intersection of the three angle bisectors is called the Incenter. The Incenter is also the center of the inscribed circle of the triangle. See the triangle ABC below showing the 3 angle bisectors in orange and the Incenter, I. Also, the inscribed circle is shown in green.

triangles.notebook

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November 16, 2012

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CentroidThe Centroid of a triangle is defined as the common intersection of the three medians of a triangle, where a median of a triangle is the segment from the vertex to the midpoint of the opposite side. See the triangle ABC below.

The centroid breaks the median into two parts in the ratio of 2:1. The vertex to the centroid is twice as long as the centroid to the midpoint.

Oct 179:20 PM

OrthocenterThe Orthocenter of a triangle is found at the common intersection of the three altitude lines of a the triangle. See the triangle DEF below.

http://www.mathopenref.com/trianglecircumcenter.html

Euler Line is the line that containsthe ORTHOCENTER, CENTROID, and CIRCUMCENTER.

http://www.mathopenref.com/trianglecircumcenter.html

triangles.notebook

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November 16, 2012

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The four different types of centers in a triangle.

Peanut Butter Cookies Are Best In Milk Chocolate And Ovaltine

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1) 2)

3)

20

triangles.notebook

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November 16, 2012

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4) 5)

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Homework Medians worksheet 117 odd

Attachments

mental math fractions.ppt

Triangle Sum.ggb

angle_sum_2.ggb

Exterior angle Theorem.ggb

Isosceles Triangle.ggb

Equilateral Triangle.ggb

Triangle Inequliaty Theorem.ggb

Midsegment.ggb

Perpen Bisector.ggb

angle bisector.ggb

Triangle Inequality Theorem.ggb

Mental Math

Fractions

Number your paper from 1 – 8.

3

2

1

1.)

½ of 26

2.)

1/6 of 42

3.)

1/8 of 32

4.)

3/8 of 32

5.)

¾ of 100

6.)

5/8 of 40

7.)

3/5 of 25

8.)

5/6 of 24

Answers

1.) 13

2.) 7

3.) 4

4.) 12

5.) 75

6.) 25

7.) 15

8.) 20

SMART Notebook

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geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

SMART Notebook

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geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

SMART Notebook

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geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

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geogebra_thumbnail.png

geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

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geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

SMART Notebook

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geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

SMART Notebook

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geogebra_javascript.js

function ggbOnInit() {}

geogebra.xml

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afcc4ea4a46d0bc8804f99b68f5f64c0/images.jpg

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geogebra_javascript.js

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