Midsegment of a triangle

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 the length of a midsegment and the lengths of the sides of the triangle?

Back

The length of a midsegment is half the length of the third side 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

7 (half of the third side, which is 14).

Front

How do you find the midpoint of a segment?

Back

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

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 triangle ABC has midsegment DE, what can be said about DE?

Back

DE is parallel to side AC and DE = 1/2 * AC.

Front

In triangle WUV, if QR is a midsegment, what can be inferred about segments WU and UV?

Back

QR is parallel to WU and UV, and QR = 1/2 * WU.

Front

What is the significance of midsegments in triangle similarity?

Back

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

Front

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

Back

16 (since the midsegment is half the length of the side it is parallel to).

Front

What is the measure of angle formed by two midsegments in a triangle?

Back

The angles formed by two midsegments are equal to the angles of the triangle they are part of.