Altitude of a Triangle Worksheet

Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.

Grade 9 Math GeometryAltitude of a Triangle

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.10CCSS.MATH.CONTENT.HSG.SRT.C.8

7 sections · Free to use · Printable

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.