Triangle Special Segments Worksheet
Explore the 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 your 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. An altitude of a triangle is a segment from a vertex to the opposite side.
at a 60-degree angle
at a 45-degree angle
perpendicular
parallel
3. A(n) divides an angle into two congruent angles.
4. The point where the three medians of a triangle intersect is called the .
5. A perpendicular bisector always passes through a vertex of the triangle.
True
False
6. The orthocenter is the intersection point of the altitudes of a triangle.
True
False
7. In the triangle above, segment AM is drawn from vertex A to the midpoint M of side BC. What type of special segment is AM?
8. In triangle DEF, segment DG is drawn from vertex D perpendicular to side EF. What type of special segment is DG?
Match each special segment with its definition.
9. Median
a. A segment that bisects an angle of the triangle.
10. Altitude
b. A segment from a vertex to the midpoint of the opposite side.
11. Angle Bisector
c. A segment from a vertex perpendicular to the opposite side.
12. Perpendicular Bisector
d. A line segment that bisects a side and is perpendicular to it.