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

A 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

21

Front

What is the length of a midsegment if it connects two sides measuring 12 and 18?

Back

The midsegment length is 12.

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 formula: Midsegment = (Side1 + Side2) / 2.

Front

If QR is a midsegment of triangle BCD, what can be said about the sides BC and CD?

Back

BC and CD are each twice the length of QR.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles, as they are parallel to one side and proportional to the other sides.

Front

If the midsegment of a triangle is 9, what is the length of the side it is parallel to?

Back

18.

Front

What is the value of y if the midsegment is 3 units long and the side it is parallel to is 6 units long?

Back

3.

Front

In triangle ABC, if AB = 30 and AC = 42, what is the length of the midsegment connecting points D and E?

Back

15.