Presentation on theme: "5-4 Midsegment Theorem Identify the Midsegment of a triangle"— Presentation transcript:
1 5-4 Midsegment Theorem Identify the Midsegment of a triangle Use the properties of the Midsegement of a triangleA midsegment of a triangle is a segment that connects the midpoints of 2 sides of a triangle.The midsegments and sides of a triangle have a special relationship.
2 Midsegment Theorem: The segment connecting the midpoints of the two sides of a triangle is parallel to the third side and half as long.BDEAC
3 Find each of the following. U, V, and W are midpoints.Find each of the following.UW = 6RT = 16RW = 8RUW8TVS12
4 Using Midpoints to Draw a Triangle You are given midpointsL(4, 2), M(2, 3) N(5, 4).Plot the midpoints in a coordinate plane.Connect these midpoints to form the midsegments.What are the coordinates of the triangle itself? Hint: Find the slopes of the midsegments.The coordinates of the vertices of the triangle are: (1, 1), (3, 5) and _(7, 3)_.Slope of LN is 2, so there is a line parallel to it that has a slope of 2 in which M is the midpoint.NML