HGeom - 5.1 Midsegments of Triangles Bellringer

Front

What is a midsegment of a triangle?

Back

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

Front

If the lengths of two sides of a triangle are 10 and 14, what is the length of the midsegment connecting these two sides?

Back

The length of the midsegment is 12.

Front

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

Back

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

Front

If a triangle has sides of lengths 8, 10, and 12, what is the length of the midsegment connecting the sides of lengths 8 and 10?

Back

The length of the midsegment is 6.

Front

How do you find the midpoint of a line segment?

Back

To find the midpoint, average the x-coordinates and the y-coordinates of the endpoints.

Front

If a triangle has vertices at (2, 3) and (4, 7), what is the midpoint of the segment connecting these points?

Back

The midpoint is (3, 5).

Front

What is the formula for the length of a midsegment in a triangle?

Back

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

Front

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

Back

The length of the side is 18 units.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn within a triangle.

Front

If a triangle has a midsegment of length 7, what can you say about the side it is parallel to?

Back

The side it is parallel to is 14 units long.