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

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

Front

If segment DE is a midsegment, what can be said about segments AB and DE?

Back

Segment DE is parallel to segment AB and DE = 1/2 AB.

Front

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

Back

Length of midsegment = 1/2 (length of the side parallel to it).

Front

How many midsegments can a triangle have?

Back

A triangle can have three midsegments, one for each pair of sides.

Front

If the lengths of two sides of a triangle are 10 and 14, what is the length of the midsegment connecting these sides?

Back

The length of the midsegment is 7 (which is half of 14).

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

What is the relationship between the angles formed by a midsegment and the triangle?

Back

The angles formed by a midsegment are equal to the angles of the triangle.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the length of the midsegment parallel to the side of length 10?

Back

The length of the midsegment is 5 (which is half of 10).

Front

What is the definition of a median in a triangle?

Back

A median is a segment that connects a vertex of the triangle to the midpoint of the opposite side.