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

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

Back

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

Front

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

Back

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

Front

In triangle ABC, if D and E are midpoints of sides AB and AC respectively, what is the relationship between DE and BC?

Back

DE is parallel to BC and DE = 1/2 BC.

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 the midsegment of a triangle is 8 units long, what is the length of the side it is parallel to?

Back

16 units (since the midsegment is half the length of the side it is parallel to).

Front

How many midsegments can be drawn in a triangle?

Back

Three midsegments, one for each pair of sides.

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

If the lengths of two sides of a triangle are 6 and 8, what is the maximum possible length of the midsegment?

Back

8 units (the midsegment cannot exceed the length of the longest side).

Front

In a triangle, if one midsegment is 5 units long, what can be said about the side it is parallel to?

Back

The side it is parallel to is 10 units long.