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 AB is a side of triangle MLN and IJ is the midsegment, what is the relationship between AB and IJ?

Back

IJ = 1/2 * AB.

Front

In triangle MLN, if the length of side ML is 18, what is the length of the midsegment connecting the midpoints of sides ML and LN?

Back

9 (since the midsegment is half the length of side ML).

Front

If SR = 68, what is the length of the midsegment connecting the midpoints of sides SR and RT?

Back

34 (the midsegment is half the length of SR).

Front

When AB = 16, what is the length of the midsegment QS?

Back

8 (the midsegment is half the length of AB).

Front

If the length of side LN is 30, what is the length of the midsegment connecting the midpoints of sides ML and LN?

Back

15 (the midsegment is half the length of side LN).

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties, proving congruence, and solving for unknown lengths.

Front

If BR is a midsegment and SR = 46, what is the length of BR?

Back

23 (the midsegment is half the length of SR).

Front

How do you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

Add the lengths of the two sides and divide by 2.

Front

If the midsegment of a triangle is 12, what is the length of the side it is parallel to?

Back

24 (the side is twice the length of the midsegment).