Sect. 5.4 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

Theorem 5.9 Midsegment Theorem Using Midsegments of a Triangle Theorem 5.9 Midsegment Theorem The segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and is half as long.

Show that midsegment is parallel to 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

a) What are the coordinates of Q and R? Using Midsegments of a Triangle a) What are the coordinates of Q and R? b) Why is c) What is MP? What is QR?

a) In XYZ, which segment is parallel to 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?

are midsegments in XYZ. Find the perimeter of XYZ. Using Properties of Midsegments are midsegments in XYZ. Find the perimeter of XYZ.

Find the perimeter of the triangle and the midsegment triangle. 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.

Find the perimeter of  ABC. 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