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

How does the length of a midsegment relate to the lengths of the sides of a triangle?

Back

The length of a midsegment is always half the length of the side it is parallel to.

Front

If a midsegment has a length of 12 inches, what is the length of the corresponding side?

Back

24 inches.

Front

Is the midsegment of a triangle always parallel to one of its sides?

Back

Yes, a midsegment is always parallel to the side it corresponds to.

Front

If D and E are midpoints of sides AB and AC of triangle ABC, what is the relationship of segment DE to side BC?

Back

Segment DE is a midsegment and is parallel to side BC, and its length is half of BC.

Front

What is the formula to find the length of a side of a triangle using its midsegment?

Back

The formula is: 2(midsegment) = opposite side.

Front

If DE is a midsegment of triangle ABC, what can be said about the lengths of DE and BC?

Back

DE = 1/2 BC.

Front

What is the significance of midpoints in triangle midsegments?

Back

Midpoints are crucial as they define the endpoints of the midsegment.

Front

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

Back

The length of the midsegment is 7.

Front

Can a midsegment be longer than the side it is parallel to?

Back

No, a midsegment cannot be longer than the side it is parallel to.