Midsegments

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

How does the length of a midsegment compare to the length of the third side of a triangle?

Back

The length of a midsegment is half the length of the third side.

Front

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

Back

7 (half of the length of the third side, which is 14).

Front

What is the relationship between midsegments in a triangle?

Back

Midsegments are parallel to the third side of the triangle.

Front

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

Back

5 (half of the length of the third side, which is 10).

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

In triangle ABC, if D and E are midpoints of sides AB and AC respectively, what is segment DE?

Back

Segment DE is the midsegment of triangle ABC.

Front

If the midsegment of a triangle is 4 cm long, what is the length of the third side?

Back

8 cm (since the midsegment is half the length of the third side).

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If a midsegment is parallel to one side of a triangle, what can be said about the triangles formed?

Back

The triangles formed are similar by the Basic Proportionality Theorem.