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

How many midsegments does a triangle have?

Back

A triangle has 3 midsegments.

Front

What is the relationship between the length of a midsegment and the length of the corresponding side?

Back

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

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect.

Front

What is the significance of the midsegment in a triangle?

Back

The midsegment helps in determining the properties of the triangle and can be used to find lengths of sides.

Front

If a midsegment of a triangle measures 10 inches, what is the length of the corresponding side?

Back

20 inches.

Front

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

Back

Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

What type of triangle can have midsegments?

Back

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

Front

If the midsegment of a triangle is 14 inches, what is the length of the corresponding side?

Back

28 inches.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect.