Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half the length of the third side.

Front

If DE is the midsegment of triangle ABC, what can be said about DE in relation to AC?

Back

DE is parallel to AC and its length is half the length of AC.

Front

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

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and then use the formula: Length of midsegment = (Length of side 1 + Length of side 2) / 2.

Front

If segment AC measures 24 units, what is the length of the midsegment DE?

Back

The length of midsegment DE is 12 units.

Front

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

Back

The lengths of the midsegments are always half the lengths of the sides they are parallel to.

Front

In triangle ABC, if AB = 10 and AC = 14, what is the length of the midsegment DE?

Back

The length of midsegment DE is 7 units.

Front

If segment DE is parallel to segment AC, what can be inferred about their lengths?

Back

DE is half the length of AC.

Front

What is the significance of the midpoints in the Midsegment Theorem?

Back

The midpoints of the sides of a triangle are crucial as they define the midsegment, which is parallel to the third side.

Front

If the midsegment of a triangle measures 11 units, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 22 units.

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; it is always half the length.