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 compare to the length of the third side of the triangle?

Back

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

Front

If AC = 42, what is the length of the midsegment DF?

Back

21

Front

What is the relationship between a midsegment and the sides of the triangle?

Back

A midsegment is parallel to the third side of the triangle.

Front

Is DE parallel to BC if DE is a midsegment?

Back

Yes, DE is parallel to BC.

Front

What is the formula to find the length of a midsegment?

Back

Length of midsegment = 1/2 * Length of the third side.

Front

If AB = 34, what is the length of the midsegment connecting the midpoints of AC and BC?

Back

17

Front

What type of triangle can have a midsegment?

Back

All types of triangles (scalene, isosceles, equilateral) can have midsegments.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle.

Front

If the midsegment of a triangle is 10, what is the length of the side it is parallel to?

Back

20