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 segment AC is 10 units long, what is the length of the midsegment DE?

Back

5 units.

Front

What is the relationship between the midsegment and the sides of the triangle?

Back

The midsegment is parallel to the third side and its length is half of that side.

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 use the Midsegment Theorem.

Front

If segment EC is 4 units long, what is the length of segment BC?

Back

8 units.

Front

What segments are parallel in a triangle with midsegment DE?

Back

Segment DE is parallel to segment AC.

Front

If the length of segment DF is 6 units, what is the length of segment EF if DF is a midsegment?

Back

6 units.

Front

What is the significance of the Midsegment Theorem in geometry?

Back

It helps in solving problems related to triangle properties and relationships between sides.

Front

If angle PQR measures 55 degrees, what can be inferred about the triangle?

Back

The triangle may have specific properties related to its angles, but more information is needed to determine its type.

Front

What is the formula to calculate the length of a midsegment?

Back

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