## Segment And Angle Bisectors Homework For Kids

## Triangle Angle Bisector Theorem

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

By the Angle Bisector Theorem,

Proof:

Draw .

Extend to meet at point .

By the Side-Splitter Theorem,

---------( )

The angles are corresponding angles.

So, .

Since is a angle bisector of the angle .

By the Alternate Interior Angle Theorem , .

Therefore, by transitive property, .

Since the angles are congruent , the triangle is an isosceles triangle with .

Replacing by in equation ( ),

** Example: **

Find the value of .

By Triangle-Angle-Bisector Theorem,

.

Substitute.

Cross multiply.

Divide both sides by .

The value of is .

## Geometry Worksheets

## Geometry Worksheets for Practice and Study

Here is a graphic preview for all of the Geometry Worksheets Sections. You can select different variables to customize these Geometry Worksheets for your needs. The Geometry Worksheets are randomly created and will never repeat so you have an endless supply of quality Geometry Worksheets to use in the classroom or at home. These Geometry Worksheets consist of Angle Worksheets, Circles Worksheets, Coordinate Geometry Worksheets, Quadrilaterals and Polygons Worksheets, Perimeter and Area Worksheets, Pythagorean Theorem Worksheets, Surface Area and Volume Worksheets, Triangle Worksheets, and Trigonometry Worksheets for your use. Our Geometry Worksheets are free to download, easy to use, and very flexible.

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## Detailed Description for All Geometry Worksheet Sections

**Angles Worksheets**

This section contains all of the graphic previews for the Angles Worksheets. We have classifying, naming, and measuring angles worksheets, reading protractors worksheets, finding complementary, supplementary, vertical, alternate, corresponding angles and much more angle worksheet for your use. These geometry worksheets are a good resource for children in the 5th Grade through the 10th Grade.

**Area and Perimeter Worksheets**

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**Circle Worksheets**

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**Coordinate Worksheets**

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**Parallel and Perpendicular Lines Worksheets**

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**Pythagorean Theorem Worksheets**

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**Similarity Worksheets**

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**Surface Area & Volume Worksheets**

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**Transformations Worksheets**

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**Triangle Worksheets**

This section contains all of the graphic previews for the Triangle Worksheets. We have a triangle fact sheet, identifying triangles, area and perimeters, the triangle inequality theorem, triangle inequalities of angles and angles, triangle angle sum, the exterior angle theorem, angle bisectors, median of triangles, finding a centroid from a graph and a set of vertices for your use. These geometry worksheets are a good resource for children in the 5th Grade through the 10th Grade.

**Trigonometry Worksheets**

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