35+ Triangle Midsegment Theorem Worksheet PNG. This segment will always be parallel to the third side which these worksheets explain how to find the measure of sides and angles of a triangle using midsegments. This worksheet contains problems on the triangle midsegment theorem, which states that in any triangle, a segment joining the midpoints of any two sides will be parallel to the third side and half its length.
For this geometry worksheet, 10th graders identify the vocabulary associated with the triangle midsegment theorem and solve problems in which they find the size of a missing angle or segment.
It might help to redraw the triangle to see which pieces are parallel, and which piece is half of what… 9.3 the triangle midsegment theorem (continued). In the diagram given below, show that the midsegment mn is parallel side jk and is half as long. The triangle midsegment theorem looks at the relationship between a midsegment of a triangle and the triangle's third side.