Midsegment of a triangle

Front

If D and E are Midpoints, then \( \overline{DE} \) is _______________.

Back

a midsegment.

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

What is the relationship between a midsegment and the third side of a triangle?

Back

The length of a midsegment is half the length of the third side.

Front

If GH is a midsegment and DF is the third side, what is the equation relating their lengths?

Back

\( GH = \frac{1}{2}DF \)

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

If the midpoints of sides AB and AC of triangle ABC are D and E respectively, what is \( \overline{DE} \)?

Back

\( \overline{DE} \) is the midsegment of triangle ABC.

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects and apply the formula: \( \text{Length of midsegment} = \frac{1}{2} \times \text{Length of third side} \).

Front

If the lengths of sides AB and AC are 10 and 14 respectively, what is the length of the midsegment DE?

Back

\( DE = \frac{1}{2} \times 14 = 7 \)

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles when drawn in a triangle.

Front

If a triangle has sides of lengths 8, 6, and 10, what is the length of the midsegment connecting the midpoints of the two shorter sides?

Back

\( \text{Length of midsegment} = \frac{1}{2} \times 10 = 5 \)