Answer:
The answer is midsegment.
Step-by-step explanation:
The midsegment of a triangle is a line constructed by connecting the midpoints of any two sides of the triangle. It does not matter if it is a right triangle, isosceles triangle, or an equilateral triangle, all three sides of a triangle can be bisected (cut in two), with the point equidistant from either vertex being the midpoint of that side.
Since triangles have three sides, they can have three midsegments. One midsegment is one-half the length of the base (the third side not involved in the creation of the midsegment). That is only one interesting feature. It is also:
- Always parallel to the third side of the triangle; the base
- Forms a smaller triangle that is similar to the original triangle
- The smaller, similar triangle is one-fourth the area of the original triangle
- The smaller, similar triangle has one-half the perimeter of the original triangle
Because the smaller triangle created by the midsegment is similar to the original triangle, the corresponding angles of the two triangles are identical; the corresponding interior angles of each triangle have the same measurements.
