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 the length of a midsegment and the length of the side it is parallel to?

Back

The midsegment is half the length of the side it is parallel to.

Front

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

Back

DE is half the length of BC.

Front

If DE is parallel to BC, what can be inferred about the angles formed by these lines with the other sides of the triangle?

Back

The angles formed are corresponding angles and are equal.

Front

What is the significance of the midsegment in triangle similarity?

Back

The midsegment creates two smaller triangles that are similar to the original triangle.

Front

If the lengths of sides AB and AC are 10 and 14 respectively, what is the length of the midsegment DE?

Back

DE = 7 (half of side BC, which is 14).

Front

In triangle ABC, if DE is a midsegment, what can be said about segments AD and DB?

Back

AD is equal in length to DB.

Front

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

Back

Length of midsegment = 1/2 * length of the side it is parallel to.

Front

If a triangle has sides of lengths 8, 10, and 12, what is the length of the midsegment parallel to the longest side?

Back

Length of the midsegment = 6 (half of the longest side, which is 12).

Front

How does the midsegment theorem apply to triangle ABC with midsegment DE?

Back

The midsegment theorem states that DE is parallel to BC and DE = 1/2 * BC.