5.3 Medians and Altitudes

What is the point called where all medians of a triangle meet?

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If a median is drawn from a vertex to the midpoint of the opposite side, what fraction of the total length is from the vertex to the centroid?

• Three-fourths

• Two-thirds

• One-third

• One-half

What is the term for a line segment that is perpendicular from a vertex to the opposite side in a triangle?

• Median

• Altitude

• Tangent

• Bisector

Where is the orthocenter located in a triangle?

• Always on the triangle

• Can be inside, outside, or on the triangle

• Always outside the triangle

• Always inside the triangle

What is the relationship between the orthocenter and the altitudes of a triangle?

• The orthocenter is unrelated to the altitudes

• The orthocenter is the endpoint of one altitude

• The orthocenter is the point where all altitudes intersect

• The orthocenter is the midpoint of the altitudes