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

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 segment QR is a midsegment of triangle WXY, what can be said about segment WX?

Back

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

Front

Given triangle ABC, if DE is a midsegment, what is the relationship between DE and side AC?

Back

Segment DE is parallel to side AC and its length is half the length of AC.

Front

If LN = 5 in triangle ABC and LN is a midsegment, what is the length of side AC?

Back

The length of side AC is 10.

Front

In triangle BCD, if QR is a midsegment and x is the length of side BC, what is the relationship between QR and BC?

Back

QR is half the length of side BC.

Front

What is the significance of midsegments in triangle geometry?

Back

Midsegments help in understanding triangle properties, proving congruence, and simplifying calculations.

Front

If the length of midsegment QR is 6, what is the length of the side it is parallel to?

Back

The length of the side it is parallel to is 12.

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

What is the formula to calculate the length of a midsegment in a triangle?

Back

Length of midsegment = (Length of side 1 + Length of side 2) / 2.