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 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, 10, and 12, what is the length of the midsegment connecting the sides of lengths 8 and 10?

Back

6 (half of the length of the third side, which is 12).

Front

What is the formula for finding the length of a midsegment?

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 can be said about segment DE?

Back

Segment DE is parallel to side BC and its length is half of BC.

Front

If the midsegment of a triangle is 5 units long, what is the length of the third side?

Back

10 units (since the midsegment is half the length of the third side).

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

If a midsegment is drawn in triangle XYZ, which sides does it connect?

Back

The midsegment connects the midpoints of any two sides of triangle XYZ.