Special Segments in Triangles Worksheet
Geometry Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSG.CO.C.10
A printable geometry special segments in triangles practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.
Sample problems
A median joins a vertex to the midpoint of the opposite side; the three medians meet at the centroid, which divides each median in a ratio (the longer part is from the vertex). An altitude is perpendicular to a side. A perpendicular bisector passes through a side's midpoint at a right angle; points on it are equidistant from the side's endpoints. An angle bisector splits an angle into two equal halves. A midsegment joins two midpoints, is parallel to the third side, and is half its length.
- 1. A midsegment of a triangle is parallel to the third side and is half its length. If the third side has length , find the length of the midsegment.
- 2. A midsegment of a triangle has length . Find the length of the side it is parallel to.
- 3. In a triangle, is the centroid and is a median with on the opposite side. If the part from the vertex , find and the full median .
- 4. A median of a triangle has total length . Its centroid divides it in a ratio. Find the distance from the vertex to the centroid.
Plus 10 more problems and a full answer key in the PDF.
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