Triangle Midsegment Practice

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If M and N are midpoints of sides AB and AC of triangle ABC, what is the relationship between segment MN and side BC?

Back

Segment MN is parallel to side BC and its length is half the length of side BC.

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the length of the side it is parallel to and divide by 2.

Front

If the length of side BC is 20, what is the length of the midsegment connecting the midpoints of sides AB and AC?

Back

The length of the midsegment is 10.

Front

In triangle ABC, if M and N are midpoints of sides AB and AC, which segment is parallel to BC?

Back

Segment MN is parallel to side BC.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle, maintaining proportionality.

Front

If the midsegment of triangle ABC is 8, what is the length of side BC?

Back

The length of side BC is 16.

Front

In triangle ABC, if M, N, and P are midpoints of sides AB, AC, and BC respectively, what can be said about segments MN, NP, and MP?

Back

Segments MN, NP, and MP are all midsegments and are parallel to the opposite sides of triangle ABC.

Front

What is the relationship between the lengths of the midsegments and the sides of the triangle?

Back

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

Front

If segment NP is given as a midsegment, how would you find the length of side AC?

Back

Double the length of segment NP to find the length of side AC.