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

Back

DF = 21 (half of AC).

Front

Find x if the midsegment is 9 and the corresponding side is 18.

Back

x = 9 (the midsegment is half the length of the corresponding side).

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 AB = 34, what is the length of the midsegment connecting AC and BC?

Back

Length of midsegment = 17 (half of AB).

Front

In triangle ABC, if AB = 20 and AC = 30, what is the length of the midsegment connecting AB and AC?

Back

Length of midsegment = 10 (half of AB).

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 12, what is the length of the side it is parallel to?

Back

The length of the side is 24 (double the midsegment length).