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Angle Bisectors

Angle Bisectors. Adam J. Flick Sarah A. Porter. Congruent Angles - two angles with the same measure Example Given: Angle 1 is congruent to angle 2 measure of angle 1=2x+15 measure of 2=3x-2 Find X Therefore: 2x+15=3x-2 X=17.

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Angle Bisectors

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  1. Angle Bisectors Adam J. Flick Sarah A. Porter

  2. Congruent Angles- two angles with the same measure • Example • Given: Angle 1 is congruent to angle 2 measure of angle 1=2x+15 measure of 2=3x-2 • Find X • Therefore: • 2x+15=3x-2 • X=17

  3. Bisector- the ray that separates the given angle into two congruent angles. • Theorem 1.4.1: There is one and only one angle bisector for a given angle.

  4. How to Construct a Bisector • With a compass, mark an arc to intersect both sides of the angle. • Mark an arc from the previous intersect to inside the angle. • Repeat from other side of the angle. • Draw a line from where the intersecting arcs meet to the vertex.

  5. Bisecting Angles with Mr. Flick is FUN!

  6. Have fun with Bisectors! • This website can reiterate the concept of bisectors. • ‘fun’

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