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

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

Back

DF = 21 (DF is half the length of AC).

Front

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

Back

The midsegment is parallel to the third side and half its length.

Front

If TS is a midsegment of triangle GHI, what can be said about segments GH and TS?

Back

GH is twice the length of TS.

Front

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

Back

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

Front

If segment EF is parallel to segment NP, what can be inferred about their lengths?

Back

EF and NP are equal in length if they are midsegments.

Front

If GH = 1/2DF, what does this imply about the relationship between GH and DF?

Back

GH is half the length of DF.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles within the original triangle.

Front

If x = 3 in a triangle problem, what does this represent?

Back

x could represent a length, angle measure, or other variable in the triangle.

Front

How do you determine if two segments are midsegments?

Back

Check if they connect the midpoints of two sides of a triangle.