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

How does the length of a midsegment compare to the lengths of the sides of the triangle?

Back

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

Front

If QR is a midsegment of triangle FGH, what can be said about segments FG and QR?

Back

Segment QR is parallel to segment FG.

Front

What is the relationship between the angles formed by a midsegment and the angles of the triangle?

Back

The angles formed by a midsegment are equal to the angles of the triangle at the opposite vertices.

Front

If segment DE is a midsegment of triangle ABC, which sides of the triangle are DE parallel to?

Back

Segment DE is parallel to side AC.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If the lengths of sides AB and AC are 10 and 8 respectively, what is the length of the midsegment DE?

Back

The length of midsegment DE is 5, which is half of side BC.

Front

What is the measure of angle a if it is formed by a midsegment and one side of the triangle?

Back

Angle a is equal to the angle at the opposite vertex of the triangle.

Front

If segment NP is parallel to segment EF, what can be inferred about the triangles formed?

Back

The triangles formed are similar due to the parallel lines.

Front

What is the formula to find the length of a midsegment in a triangle?

Back

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