Triangles and Midpoints

Here are two tasks for a three-sided figure. Scholars complete some problems given a triangle. The first is to show that a quadrilateral drawn with midsegments of the triangle is a parallelogram. The second is to find the perimeter of the triangle formed from the midsegments.

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CCSS: Designed
Instructional Ideas

  • Apply the worksheet as part of a unit assessment
Classroom Considerations

  • An understanding of the properties of parallelograms is necessary
  • Learners should have knowledge of proof techniques
Pros

  • Provides some instructional implications for several misconceptions
  • Worksheet includes a diagram of the triangle, making it easy to interpret the tasks
Cons

  • PDF version of the rubric has sample responses that are illegible
Common Core