Midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

A midsegment of a triangle is a line 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 length of a midsegment is half the length of the side it is parallel to.

Front

If the midsegment of a triangle measures 6 inches, what is the length of the side it is parallel to?

Back

12 inches.

Front

How many midsegments can be found in a triangle?

Back

A triangle has 3 midsegments.

Front

If AC = 42, what is the length of the midsegment DF?

Back

21.

Front

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

Back

2(midsegment) = length of the opposite side.

Front

In a triangle, if one midsegment measures 10 inches, what is the length of the corresponding side?

Back

20 inches.

Front

What type of triangle can have midsegments?

Back

All types of triangles (scalene, isosceles, and equilateral) can have midsegments.

Front

If a midsegment is 12 inches long, what can be said about the side it is parallel to?

Back

The side it is parallel to is 24 inches long.

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties and relationships between sides.