Midsegment Theorem

Front

What is the Midsegment Theorem?

Back

The Midsegment Theorem states that a midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

Front

If GH is a midsegment of triangle DEF, what is the relationship between GH and DF?

Back

GH = 1/2 DF.

Front

What is a midsegment in a triangle?

Back

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

Front

If IJ is a midsegment of triangle MLN and the length of segment ML is 18, what is the length of segment IJ?

Back

IJ = 9.

Front

In triangle FGH, if QR is a midsegment and QR = 5.5, what is the length of side FG?

Back

FG = 11.

Front

Which segments are parallel in a triangle with midsegments?

Back

The midsegment is parallel to the third side of the triangle.

Front

If segment BD is equal to segment AD, what can be inferred about the triangle?

Back

BD and AD are segments connecting midpoints, indicating that triangle properties are preserved.

Front

What is the significance of the midsegment in triangle geometry?

Back

Midsegments help in understanding triangle similarity and proportionality.

Front

If AB is a midsegment of triangle CDE, which segment is parallel to AB?

Back

Segment DE.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, take half the length of the side it is parallel to.