Students will be able to construct midsegments of a triangle. Essential question how are the midsegments of a triangle related to the sides of the triangle. This lesson will state the triangle midsegment theorem, apply it to an example, and then provide a proof of the theorem. A segment that connects the midpoints of two sides of the triangle. The four triangles formed by the midsegments of a triangle are congruent. Lets cut more stuff in half if you take a triangle and draw a segment whose endpoints bisect two sides of the triangle you get a. Every triangle has three midsegments, which form the midsegment triangle.
Using the midsegment of a triangle a midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle. In this worksheet, we will practice finding unknown lengths in trapezoids using the trapezoid midsegment theorem. This tutorial illustrates the important concepts regarding the triangle midsegment theorem. If you dont see any interesting for you, use our search form on bottom v. Triangle midsegment theorem a midsegment of a triangle is parallel to a side of the triangle, and its length is half the length of that side. The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side. Midsegment of a triangle date period kuta software llc. A midsegment of a triangle is a segment that joins. The midsegment of a triangle is defined as the segment formed by connecting the midpoints of any two sides of a triangle. Midsegment of a triangle joins the midpoints of two sides and is half the length of the side it is parallel to. In each triangle, m, n, and p are the midpoints of the sides. Students will investigate the midsegments of triangles first by folding paper and then by using geometry. The midsegments of abc at the right are mp, mn, and np. A line that passes through two sides of a triangle is only a midsegment if it passes through the midpoints of the two sides of the triangle.