Triangle Midsegment

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 relate to the lengths of the sides of the triangle?

Back

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

Front

If BD=16, EA=5, and FC=3, what is the perimeter of triangle ABC?

Back

48

Front

What is the formula to find the perimeter of a triangle?

Back

Perimeter = side1 + side2 + side3.

Front

If IJ is a midsegment of triangle MLN and its length is 6, what is the length of segment LN?

Back

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

Front

What is the relationship between the midsegment and the sides of the triangle it connects?

Back

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

Front

If QR is a midsegment of triangle WXY and its length is 6, what is the length of segment WY?

Back

12.

Front

How do you find the length of a midsegment if you know the lengths of the sides of the triangle?

Back

The length of the midsegment is half the length of the side it is parallel to.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If the lengths of two sides of a triangle are 10 and 14, what is the maximum length of the midsegment?

Back

The maximum length of the midsegment is 14.