Geometry
Triangle Median Construction Worksheets
Construct triangle medians by bisecting the opposite side and joining its midpoint to the named vertex.
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Triangle Altitude Construction Worksheets
Construct altitudes of acute, right and obtuse triangles, including extensions of opposite sides.
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Construct the altitude from the named vertex. Extend the opposite side when the perpendicular foot falls outside the triangle.
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An altitude is perpendicular to the opposite side or to that side extended.
Learning objective
What this activity builds
Construct a perpendicular from a vertex to the opposite supporting line.
Worked example
Can the foot of an altitude lie outside a triangle?
Yes, in an obtuse triangle.
An altitude meets the line through the opposite side, which may need to be extended beyond the side segment.
Teaching notes
Make the practice count
- Identify the named vertex and opposite side first.
- Extend the opposite side when needed.
- Check a right angle where the altitude meets the supporting line.
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Four triangles include acute, right, and obtuse cases, including exterior altitude feet. Native variants are fixed to provide complete teaching coverage; the source form exposes no task-specific controls.
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