Triangle Midsegments

Front

What is a midsegment of a triangle?

Back

A midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle.

Front

What is the relationship between a triangle's midsegment and the sides of the triangle?

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 the third side, which is 14).

Front

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

Back

The length of the midsegment is equal to half the length of the side that is parallel to it.

Front

If the midsegment of a triangle is 6 units long, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 12 units.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create smaller triangles that are similar to the original triangle, maintaining proportionality.

Front

If a triangle has vertices A(1,2), B(3,4), and C(5,6), what are the coordinates of the midpoints of AB and AC?

Back

Midpoint of AB is (2,3) and midpoint of AC is (3,4).

Front

How many midsegments can be drawn in a triangle?

Back

A triangle has three midsegments, one for each pair of sides.

Front

What is the formula for finding the length of a midsegment in terms of the lengths of the sides it connects?

Back

Length of midsegment = 1/2 * (length of the side it is parallel to).

Front

If the lengths of two sides of a triangle are 8 and 10, what is the maximum possible length of the midsegment?

Back

The maximum possible length of the midsegment is 10 units.