Triangle Midsegments

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 triangle's midsegment and its parallel sides?

Back

The 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 and 14, what is the length of the midsegment connecting the midpoints of these sides?

Back

The length of the midsegment is 7 (half of 14).

Front

How do you find the midpoint of a line segment?

Back

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

Front

If segment AB is 8 units long, what is the length of the midsegment connecting the midpoints of segments AC and BC?

Back

The length of the midsegment is 4 units.

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a midsegment of a triangle is parallel to one side and half as long.

Front

If the midsegment of a triangle is 5 units long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 10 units.

Front

In triangle ABC, if D and E are midpoints of sides AB and AC respectively, what can be said about segment DE?

Back

Segment DE is parallel to side BC and DE = 1/2 BC.

Front

How can you determine if two segments are midsegments of a triangle?

Back

Two segments are midsegments if they connect the midpoints of two sides of the triangle and are parallel to the third side.

Front

If the lengths of sides AB and AC are 6 and 8 respectively, what is the length of the midsegment DE?

Back

The length of midsegment DE is 4 (half of side BC, which is 8).