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Basic Bisector Knowldge
Problems
Even More Problems
100
This divides an angle into two congruent, smaller angles
What is an angle bisector?
100
This is the measure of the original angle after is is bisected into two 47 degree angles

(NO CALCULATOR)

What is 94?
100

Angle ABC is bisected by Segment BD.  If the distance Point A to point D is 5, then this is the distance from Point C to point D.

What is 5?
200
The point of concurrency made by angle bisectors is called this.
What is the incenter?
200
Angle ABC measures 143 degrees and is bisected by Segment BD.  This is the measure of Angle ABD.
What is 71.5?
200

Angle ABC is bisected by Segment BD.  If the distance from Point A to point C is 36, then this is the distance from point A to Point D.

(All three points are co-linear.)

What is 18?
300
The point of concurrency of angle bisectors are equidistant from this on a triangle.
What are the sides?
300
Angle ABC is bisected by Segment BD.  If Angle DBC is 41 degrees, this is the measure of Angle ABC
What is 82 degrees?
300

Angle ABC is bisected by Segment BD.  If AD is 3x+5 and AD+DC is 7x+4, this is the value of x

]

What is 6?
400
If a circle were to be drawn around the outside of a triangle, the distance from the incenter to a side would be the what of a circle.
What is the radius?
400

Angle ABC is bisected by Segment BD. Angle ABD is 4x+2 degrees and Angle DBC is 42 degrees.  This is the value of x

What is 10?
400

Angle ABC is bisected by Segment BD.  If point D also bisects AC, with a measure of 48, then this is the measure of AD

What is 24?
500
The incenter is always where in a triangle
What is inside?
500
Angle ABC is bisected by Segment BD.  Angle ABC measures  Angle ABD measure 3x+16.  If x=8, this is the measure of Angle ABC.
What is 80 degrees?
500

Angle ABC is bisected by Segment BD.  If AD=5x+6 and AC=11x+4, then this is the measure of DC.

What is 16?