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, what can be said about the sides GH and HI?

Back

TS is parallel to side GI and its length is half of GI.

Front

What is the relationship between midsegments in similar triangles?

Back

In similar triangles, the lengths of corresponding midsegments are proportional to the lengths of the corresponding sides.

Front

If DE is a midsegment of triangle ABC, what can be concluded about DE and BC?

Back

DE is parallel to BC.

Front

If the length of side BC is 18, what is the length of the midsegment DE?

Back

The length of DE is 9.

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties, including similarity and proportionality.

Front

How can you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

The length of the midsegment is not directly dependent on the lengths of the two sides; it is always half the length of the third side.

Front

If a triangle has sides of lengths 10, 14, and 18, what is the length of the midsegment connecting the sides of lengths 10 and 14?

Back

The length of the midsegment is 9 (half of 18).

Front

What is the formula for finding the length of a midsegment?

Back

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