Triangle Midsegment

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

How does the length of a midsegment relate to the lengths of the sides of the triangle?

Back

The length of a midsegment is half the length of the third side of the triangle.

Front

If TS is a midsegment of triangle GHI, and side GH is 16, what is the length of TS?

Back

8

Front

If VW is a midsegment of triangle KIJ, and side KJ is 36, what is the length of VW?

Back

18

Front

What is the relationship between the midsegment and the triangle's area?

Back

The area of the triangle formed by the midsegment is one-fourth the area of the original triangle.

Front

If QR is a midsegment of triangle FGH, and side FG is 22, what is the length of QR?

Back

11

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If UV is a midsegment of triangle FGH, and side FG is 10, what is the length of UV?

Back

5

Front

How can you find the value of x when given a midsegment in a triangle?

Back

Set up an equation using the relationship between the midsegment and the sides of the triangle.

Front

If a midsegment divides a triangle into two smaller triangles, what can be said about their areas?

Back

The areas of the two smaller triangles are equal.