Midsegment of a Triangle

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

The 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, and WY is 12, what is the length of QR?

Back

6 (QR is half the length of WY).

Front

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

Back

Length of midsegment = 1/2 * Length of the third side.

Front

If segment EF is a midsegment, which segments are parallel?

Back

The segment that is parallel to EF is the segment connecting the other two vertices of the triangle.

Front

In triangle ABC, if AB = 10 and AC = 8, what is the length of the midsegment connecting the midpoints of AB and AC?

Back

4 (the midsegment is half the length of BC).

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 triangle has sides of lengths 8, 10, and 12, what is the length of the midsegment parallel to the side of length 12?

Back

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

Front

How do you find the midpoints of a triangle's sides?

Back

To find the midpoint, average the coordinates of the endpoints of the segment.

Front

What is the relationship between the lengths of two midsegments in a triangle?

Back

If two midsegments are drawn in the same triangle, they are proportional to the sides they are parallel to.