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

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 QR is a midsegment of triangle FGH, what can be said about segment FG?

Back

Segment FG is parallel to segment QR and is twice the length of segment QR.

Front

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

Back

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

Front

If segment IJ is a midsegment of triangle MLN and its length is 9, what is the length of the side of the triangle it is parallel to?

Back

The length of the side of the triangle is 18.

Front

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

Back

The length of side WU is 16.

Front

What segments are parallel in a triangle with midsegment QR?

Back

The segment opposite to the midsegment QR is parallel to it.

Front

If segment BD is equal in length to segment AD, what can be inferred about segments BD and AD?

Back

Segments BD and AD are equal in length, indicating that they are corresponding segments in the triangle.

Front

What is the significance of identifying midpoints in a triangle?

Back

Identifying midpoints allows for the construction of midsegments, which help in solving problems related to triangle properties.

Front

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

Back

To find the length of a midsegment, take the average of the lengths of the two sides it connects.