Angle Bisector Worksheet
A Grade 7 math worksheet focusing on understanding and constructing angle bisectors, including definitions, identification, 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. An angle bisector is a ray that divides an angle into two adjacent angles.
2. When an angle is bisected, the two new angles each have a measure that is of the original angle's measure.
3. If ray BD bisects ∠ABC, and m∠ABC = 80°, what is m∠ABD?
40°
80°
160°
20°
4. Which of the following statements is true about an angle bisector?
It is perpendicular to the angle.
It divides the angle into two unequal parts.
It passes through the vertex of the angle.
It forms a right angle with the original angle.
5. Ray QS bisects ∠PQR. If m∠PQS = (3x + 5)° and m∠SQR = (5x - 15)°, find the value of x and m∠PQR.
6. Draw an angle of 120° using a protractor. Then, construct its angle bisector using a compass and straightedge. Label all points and angles.
7. An angle can have more than one angle bisector.
True
False
8. Every angle has exactly one angle bisector.
True
False
9. In the diagram above, if ray AD is the angle bisector of ∠BAC, and m∠BAD = 35°, what is the measure of ∠BAC?