The Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle 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 KJ is a midsegment of triangle WXV, what can be said about segments KJ and WX?

Back

Segment KJ is parallel to segment WX and its length is half of WX.

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 the length of side WX is 24, what is the length of the midsegment KJ?

Back

The length of midsegment KJ is 12, since it is half of WX.

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.

Front

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

Back

The angles formed by a midsegment are equal to the corresponding angles of the triangle.

Front

If QR is a midsegment of triangle WUV and its length is 8, what is the length of side WU?

Back

The length of side WU is 16, since QR is half of WU.

Front

What happens to the midsegment if the triangle is scaled up or down?

Back

The midsegment will also scale up or down proportionally, maintaining its relationship to the sides of the triangle.

Front

If UV is a midsegment of triangle FGH and its length is 5, what is the length of side FG?

Back

The length of side FG is 10, since UV is half of FG.

Front

What is the significance of the Triangle Midsegment Theorem in solving geometric problems?

Back

It helps in finding unknown lengths and establishing relationships between sides and angles in triangles.