Step 1: Draw the angle bisectors of each side of the ...

6.2 Drawing Angle Bisectors of Triangles

Step-by-Step Instructions

Investigation: Drawing Angle Bisectors of Triangles

Step 1: Draw the angle bisectors of each side of the triangle.

A. Use your protractor to measure ¡ÏE. Divide this measurement by 2. Place a point

(small dot) here.

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Incenter: the point of concurrency of the three _____________________________of a

triangle

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Investigation: Drawing Angle Bisectors of Triangles

Step 1: Draw the angle bisectors of each side of the triangle.

B. Draw a ray from point E that passes through your new point (using your

straightedge/ruler).

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Incenter: the point of concurrency of the three _____________________________of a

triangle

Investigation: Drawing Angle Bisectors of Triangles

Step 1: Draw the angle bisectors of each side of the triangle.

C. Mark the two angles congruent with arcs.

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Incenter: the point of concurrency of the three _____________________________of a

triangle

Investigation: Drawing Angle Bisectors of Triangles

Step 1: Draw the angle bisectors of each side of the triangle.

D. Repeat Steps A-C for ¡ÏB.

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Incenter: the point of concurrency of the three _____________________________of a

triangle

Investigation: Drawing Angle Bisectors of Triangles

Step 1: Draw the angle bisectors of each side of the triangle.

E. Repeat Steps A-C for ¡ÏD.

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Incenter: the point of concurrency of the three _____________________________of a

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Investigation: Drawing Angle Bisectors of Triangles

Step 2: Notice the three angle bisectors intersect in one point (they are conccurent lines).

Name this intersection point (point of concurrency) point I. This is called the incenter.

I

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angle bisectors

Incenter: the point of concurrency of the three _____________________________of a

triangle

Investigation: Drawing Angle Bisectors of Triangles

Step 3: Draw a perpendicular segment from point I to side EB using your ruler. Be sure the

lines on your ruler run parallel to side EB. Mark your right angle and name the intersection

point X.

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Incenter: the point of concurrency of the three _____________________________of a

triangle

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Investigation: Drawing Angle Bisectors of Triangles

Step 3: Repeat this by drawing a perpendicular segment from point I to side BD using your

ruler. Be sure the lines on your ruler run parallel to side BD. Name the intersection point Y.

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angle bisectors

Incenter: the point of concurrency of the three _____________________________of a

triangle

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Investigation: Drawing Angle Bisectors of Triangles

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Step 3: Repeat this by drawing a perpendicular segment from point I to side ED using your

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your ruler run parallel to side ED. Name the intersection point

on

ruler. Be sure the lines

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angle bisectors

Incenter: the point of concurrency of the three _____________________________of a

triangle

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