Midsegments of Triangles

Front

What is a midsegment of a triangle?

Back

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

Front

What is the relationship between a midsegment and the sides of a 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 AC = 42, what is the length of the midsegment DF?

Back

DF = 21 (since DF is half of AC).

Front

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

Back

2(midsegment) = length of the opposite side.

Front

If the midsegment of a triangle is represented as 5x - 1, how do you find x?

Back

Set up the equation: 2(5x - 1) = length of the opposite side and solve for x.

Front

If LN = 5, what is the length of AC?

Back

AC = 10 (since AC is twice the length of LN).

Front

What does it mean if two segments are parallel in a triangle?

Back

It means they will never intersect and are equidistant from each other.

Front

How do you identify the midpoints of a triangle's sides?

Back

The midpoints can be found by measuring the lengths of each side and dividing by two.

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

If a midsegment measures 8, what is the length of the side it is parallel to?

Back

The length of the side is 16 (since the side is twice the length of the midsegment).