Midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

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

Front

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

Back

A midsegment is parallel to the third side of the triangle and its length is half the length of that side.

Front

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

Back

DF = 21 (DF is half of AC).

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 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

Name the midsegment in triangle ABC that connects points D and E, where D and E are midpoints of sides AB and AC respectively.

Back

The midsegment DE is parallel to side BC.

Front

If the midsegment of a triangle is 12 cm long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 24 cm.

Front

In triangle XYZ, if XY = 30 and the midsegment connecting points A and B is 15, what can be inferred about side XZ?

Back

Side XZ is 30 cm long (AB is half of XZ).

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles, as they are parallel to the sides of the triangle.

Front

If two midsegments in a triangle are equal in length, what can be said about the sides they are parallel to?

Back

The sides they are parallel to are also equal in length.