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

Define a midsegment in a triangle.

Back

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

Front

If segment AB is a midsegment of triangle XYZ, what can be said about segment XY?

Back

Segment AB is parallel to segment XY and its length is half the length of segment XY.

Front

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

Back

Midsegments are always parallel to one side of the triangle and are half the length of that side.

Front

If the length of side FG is 34, what is the length of the midsegment that connects the midpoints of sides F and G?

Back

The length of the midsegment is 17.

Front

In triangle ABC, if segment DE is a midsegment, what can be inferred about segments AB and DE?

Back

Segment DE is parallel to segment AB and DE = 1/2 * AB.

Front

How do you find the length of a midsegment if you know the lengths of the two sides it connects?

Back

The length of the midsegment is the average of the lengths of the two sides it connects.

Front

If QR is a midsegment of triangle FGH, and FG = 22, what is the length of QR?

Back

The length of QR is 11.

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments help establish similarity between triangles by showing proportional relationships.

Front

If TS is a midsegment of triangle GHI and GH = 16, what is the length of TS?

Back

The length of TS is 8.