PRACTICE: MIDSEGMENTS

Front

How many midsegments does a triangle have?

Back

A triangle has 3 midsegments, one for each side.

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

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 a triangle has sides of lengths 10, 14, and 18, what is the length of the midsegment connecting the sides of lengths 10 and 14?

Back

The length of the midsegment is 9 (half of 18).

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

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

Front

If the midsegment of a triangle is 7, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 14.

Front

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

Back

To find the midpoint, average the x-coordinates and the y-coordinates of the endpoints of the side.

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 a midsegment of length 6, what can you say about the side it is parallel to?

Back

The side it is parallel to is 12, since the midsegment is half the length.

Front

In triangle ABC, if D and E are midpoints of AB and AC respectively, what is DE?

Back

DE is the midsegment and is parallel to BC, with a length equal to half of BC.