Angle Bisector Worksheet
A Grade 8 math worksheet focusing on understanding and constructing angle bisectors, including properties and problem-solving.
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Angle Bisector Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is an angle bisector?
A line segment that connects two non-adjacent vertices.
A ray that divides an angle into two congruent angles.
A line that passes through the midpoint of a side of a triangle.
A segment that is perpendicular to a side of a triangle.
2. If ray BD bisects ∠ABC and m∠ABD = 35°, what is m∠ABC?
35°
70°
105°
140°
3. An angle bisector divides an angle into two angles.
4. The distance from any point on an angle bisector to the sides of the angle is .
5. Given ∠PQR with m∠PQR = 110°. If ray QS bisects ∠PQR, find m∠PQS.
6. Construct an angle bisector for the angle shown below using a compass and straightedge. Describe the steps.
7. Every angle has exactly one angle bisector.
True
False
8. An angle bisector is always perpendicular to the angle's vertex.
True
False
9. In the diagram below, ray OM bisects ∠LON. If m∠LOM = (3x + 10)° and m∠MON = (x + 40)°, find the value of x and m∠LON.