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

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

Front

If segment QR is a midsegment of triangle WXY, what can be said about segment WY?

Back

Segment WY is parallel to segment QR and is twice the length of segment QR.

Front

Calculate the length of a midsegment if the length of the side it is parallel to is 20 units.

Back

The length of the midsegment is 10 units.

Front

If AB is a midsegment of triangle CDE, and AB = 8, what is the length of side DE?

Back

The length of side DE is 16 units.

Front

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

Back

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

Front

In triangle ABC, if AB = 12 and AC = 16, what is the length of the midsegment connecting B and C?

Back

The length of the midsegment is 8 units.

Front

If a triangle has sides of lengths 10, 14, and 18, what is the length of the midsegment parallel to the longest side?

Back

The length of the midsegment is 9 units.

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 midsegment of a triangle is 5 units long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 10 units.