Midsegments, Medians & Altitudes - Worksheet 6 - 10th Grade
MediumApply properties of triangle midsegments, medians, and altitudes (Medium)
18 problems · 20-25 minutes · Skills: triangles, geometric properties, geometry
About This Worksheet
This medium-level worksheet contains 18 problems designed for 10th Grade students practicing midsegments, medians & altitudes. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
The special segments of a triangle reveal deep structural properties — centers of gravity, circumscribed circles, and inscribed circles. These concepts connect to physics, engineering design, and later to coordinate geometry proofs where proving a point is a midpoint or the centroid requires algebraic calculation.
- Apply the Triangle Midsegment Theorem to find lengths and prove parallelism
- Locate and use the centroid as the intersection of the three medians
- Distinguish among the orthocenter, circumcenter, incenter, and centroid of a triangle
- Use the centroid theorem to find segment lengths when given a median length
- Construct the circumscribed and inscribed circles of a triangle using the circumcenter and incenter
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this midsegments, medians & altitudes - worksheet 6 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this triangles worksheet cover?
This worksheet focuses on triangles, geometric properties, geometry. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.