The Triangle Midsegment Theorem

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Front

If segment QR is a midsegment of triangle WUV, what can be said about segment UV?

Back

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

Front

How do you find the length of a midsegment in a triangle?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects, and then use the formula: Midsegment length = (1/2) * (length of the third side).

Front

What is the relationship between the lengths of the midsegment and the side it is parallel to?

Back

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

Front

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

Back

The length of TS is 8, since it is half the length of GH.

Front

If QR is a midsegment of triangle FGH and x = -11, what does this imply about the triangle?

Back

If x = -11, it indicates that the dimensions or conditions of the triangle may not be valid, as lengths cannot be negative.

Front

What is the significance of identifying midpoints in a triangle?

Back

Identifying midpoints is crucial for applying the Triangle Midsegment Theorem, as it allows for the determination of midsegments and their properties.

Front

How can you determine if a segment is a midsegment of a triangle?

Back

A segment is a midsegment if it connects the midpoints of two sides of the triangle and is parallel to the third side.

Front

What is the formula to calculate the length of a side of a triangle if the midsegment length is known?

Back

If the midsegment length is known, the length of the side it is parallel to can be calculated using the formula: Side length = 2 * (midsegment length).

Front

In triangle WXY, if QR is a midsegment and WY = 12, what is the length of QR?

Back

The length of QR is 6, since it is half the length of WY.