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The Midsegment Theorem. Goal 1 Using Midsegments of Triangles. Goal 2 Using Properties of Midsegments. Using Midsegments of a Triangle. A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle This is the defn of midsegment.
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The Midsegment Theorem Goal 1 Using Midsegments of Triangles. Goal 2 Using Properties of Midsegments.
Using Midsegments of a Triangle A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle This is the defn of midsegment
Using Midsegments of a Triangle The Midsegment Theorem The segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and is half as long.
Using Midsegments of a Triangle Show that midsegment is parallel to and is half as long.
Using Midsegments of a Triangle Find JK and AB
Using Midsegments of a Triangle b) Why is a) What are the coordinates of Q and R? c) What is MP? What is QR?
Using Midsegments of a Triangle a) In XYZ, which segment is parallel to b) Is Why? c) Find YZ and XY
Using Midsegments of a Triangle Given: DE = x + 2; BC = Find DE
Using Properties of Midsegments The midpoints of the sides of a triangle are S(1, 5), T(3, 3), and V(4, 6). What are the coordinates of the vertices of the triangle?
Using Properties of Midsegments are midsegments in XYZ. Find the perimeter of XYZ.
Using Properties of Midsegments The midpoints of the sides of a triangle are S(1, 5), T(3, 3), and V(4, 6). Find the perimeter of the triangle and the midsegment triangle. *The perimeter of a midsegment triangle is half the perimeter of the original triangle.
Using Properties of Midsegments Given: X, Y, and Z are the midpoints of AB, BC, and AC respectively. AX = 2; XY = 3; BC = 9 Find the perimeter of ABC.
Homework 5.4 12-18, 26-29, 36a-e, 40-52 even