2023年8月3日 · In trapezoid PQRS, what is the length of mid-segment XY. The trapezoid mid-segment theorem states that a line connecting the midpoints of the non-parallel sides (legs) is parallel to the bases. It measures half the sum of lengths of the bases.

A line that joins the midpoints of the sides that are not parallel is called a midline (or a midsegment) of trapezoid. The line MN is the midline of ABCD. And the segment MN is the midsegment of ABCD. The midline of a trapezoid is parallel to its sides. In our case - MN || AB || DC. Theorem 1:

A line segment between the midpoints of the legs of a trapezoid Also known as midline or midsegment Try this Drag the orange dots on each vertex to reshape the trapezoid.

What is Midline Theorem? Midline Theorem Theorem 1: The segment joining the midpoints of a triangle's two sides is parallel to the third side and half as long. TRAP is an isosceles trapezoid with median .

In a trapezoid, the midline is parallel to the bases and its length is half their sum. Conversely, the line joining points on the two sides of a rapezoid, parallel to its bases and half as long is their sum is the midline.

If a line that is parallel to the bases of a trapezoid and intersects the midpoint of one of the legs, then it is a midsegment, it intersects the other leg’s midpoint, and its length is equal to half the sum of lengths of the bases. \( \displaystyle \frac{b_1+b_2}{2}\)

THE MIDLINE THEOREM The segment whose endpoints are the midpoints of two sides of a triangle is parallel to and half as long as the third side. Proof: In ∆TAY, let O and G be the midpoints of TA̅̅̅̅ and AY̅̅̅̅, respectively. Let us prove that OG̅̅̅̅∥TY̅̅̅̅ and that |OG| = ½ |TY|. has a triangular farm in their province.