Grade 9 Math: Triangle Special Segments
Explore and identify the properties of special segments in triangles, including medians, altitudes, angle bisectors, and perpendicular bisectors.
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Grade 9 Math: Triangle Special Segments
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which special segment connects a vertex of a triangle to the midpoint of the opposite side?
Altitude
Angle Bisector
Median
Perpendicular Bisector
2. The point where the three medians of a triangle intersect is called the:
Orthocenter
Incenter
Centroid
Circumcenter
3. An of a triangle is a segment from a vertex perpendicular to the opposite side.
4. The point of concurrency for the three perpendicular bisectors of a triangle is the .
5. Draw an obtuse triangle and construct its three altitudes. Label the orthocenter.
6. Explain the difference between an angle bisector and a perpendicular bisector in a triangle.
7. The incenter of a triangle is equidistant from the vertices of the triangle.
True
False
8. In an equilateral triangle, the medians, altitudes, and angle bisectors are all the same segments.
True
False
Match each special segment with its defining property.
9. Median
a. Divides an angle into two congruent angles
10. Altitude
b. Connects a vertex to the midpoint of the opposite side
11. Angle Bisector
c. Perpendicular from a vertex to the opposite side
12. Perpendicular Bisector
d. Perpendicular to a side at its midpoint