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  1. An angle bisector is a ray that divides an angle into two angles that are congruent. In the photograph of the hang glider, BD&*( bisects aABC because it divides the angle into two congruent angles. If BD&*( bisects aABC, then the measures of aABD and aDBC are half the measure of aABC. Also, the measure of aABC is twice the measure of aABD or aDBC .

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  2. New Vocabulary • distance from a point to a line. 1 Perpendicular Bisectors and Angle Bisectors. Triangles play a key role in relationships involving perpendicular bisectors and angle bisectors. In the diagram below on the left, *CD) is the perpendicular bisector of . *CD) is AB perpendicular to at its midpoint.

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  3. bisector of BC — . Label the intersection of the bisectors D. This is the circumcenter. Draw a circle Place the compass at D. Set the width by using any vertex of the triangle. This is the radius of the circumcircle. Draw the circle. It should pass through all three vertices A, B, and C. EXAMPLE 2 Finding the Circumcenter of a Triangle

  4. Holt McDougal Geometry 5-2 Bisectors in Triangles Check It Out! Example 2 Continued Step 2 Find equations for two perpendicular bisectors. Since two sides of the triangle lie along the axes, use the graph to find the perpendicular bisectors of these two sides. The perpendicular bisector of GO is y = –4.5, and the perpendicular bisector of OH is

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  5. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com. Title: 5-Angle Bisectors of Triangles Author: Mike

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  6. These math worksheets should be practiced regularly and are free to download in PDF formats. Angle Bisectors Worksheet - 1. Download PDF. Angle Bisectors Worksheet - 2. Download PDF. Angle Bisectors Worksheet - 3. Download PDF. Angle Bisectors Worksheet - 4. Download PDF.

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  8. Now, keeping the sharp end of your compass at S, draw an arc within AB and BC. Repeat the third step at T. Join the point B and the intersection of the two arcs. The line is the angle bisector of ∠ABC. The line is the angle bisector of ∠ABC = 45 ∘. Learn the Bisect definition, Examples, and Facts. Make your child a Math Thinker, the ...

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