Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
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Altitude of a Triangle
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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 altitude of a triangle is a line segment from a vertex to the opposite side, forming a angle with that side.
2. The point where the three altitudes of a triangle intersect is called the .
3. In an obtuse triangle, the orthocenter lies the triangle.
4. Which type of triangle has its orthocenter inside the triangle?
Obtuse triangle
Right triangle
Acute triangle
All of the above
5. In a right triangle, where is the orthocenter located?
Outside the triangle
At the vertex of the right angle
At the midpoint of the hypotenuse
Inside the triangle
6. Draw an acute triangle ABC. Then, construct and label all three altitudes. Mark the orthocenter O.
7. The altitude from a vertex of an equilateral triangle bisects the opposite side.
True
False
8. An altitude of a triangle is always inside the triangle.
True
False
9. Triangle XYZ has vertices X(1, 2), Y(5, 2), and Z(3, 6). Find the equation of the altitude from vertex Z to side XY.