Triangle Special Segments Worksheet
Explore and identify properties of medians, altitudes, angle bisectors, and perpendicular bisectors in triangles.
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Triangle Special Segments
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. Which special segment connects a vertex of a triangle to the midpoint of the opposite side?
Altitude
Median
Angle Bisector
Perpendicular Bisector
2. The intersection of the three altitudes of a triangle is called the .
3. A is a segment that goes from a vertex to the opposite side and is perpendicular to that side.
4. In triangle ABC, AD is an angle bisector of angle A. If angle BAD = 30 degrees, what is the measure of angle BAC?
5. The incenter is the point of concurrency of the medians of a triangle.
True
False
Match each special segment with its point of concurrency.
6. Medians
a. Orthocenter
7. Altitudes
b. Centroid
8. Angle Bisectors
c. Incenter
9. Perpendicular Bisectors
d. Circumcenter
10. Triangle XYZ has vertices X(1,1), Y(5,1), and Z(3,5). Find the coordinates of the centroid.