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

Name the midsegment in triangle ABC that connects points J and H.

Back

The midsegment JH connects the midpoints of sides AB and AC.

Front

If the length of side AB is 30, what is the length of the midsegment connecting the midpoints of sides AC and BC?

Back

The length of the midsegment is 15 (half of AB).

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

If MN is a midsegment of triangle PQR, what can be said about segments PQ and QR?

Back

Segments PQ and QR are parallel to MN.

Front

How do 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 the average of the lengths of the two sides it connects.

Front

What is the formula for 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 midpoints of the sides of lengths 10 and 14?

Back

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