Midsegment of a Triangle

Front

What is a midsegment of a triangle?

Back

A midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.

Front

What is the relationship between the length of a midsegment and the lengths of the sides it connects?

Back

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

Front

If segment DE is a midsegment of triangle ABC, what can be said about the lengths of segments AB and AC?

Back

Segments AB and AC are each twice the length of segment DE.

Front

What is the perimeter of triangle ABC if the lengths of sides AB, BC, and AC are 16, 12, and 20 respectively?

Back

The perimeter is 48 (16 + 12 + 20).

Front

If BD=16, EA=5, and FC=3, what is the perimeter of triangle ABC?

Back

The perimeter is 48.

Front

What is the measure of angle a if it is given that angle b is 50 degrees and angle c is 130 degrees?

Back

Angle a measures 80 degrees.

Front

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

Back

Length of midsegment = 1/2 * length of the third side.

Front

If QR is a midsegment of triangle FGH, and FG = 22, what is the length of QR?

Back

The length of QR is 11 (half of FG).

Front

What is the significance of midsegments in triangle similarity?

Back

Midsegments create similar triangles, as they are parallel to one side of the triangle and half its length.

Front

If IJ is a midsegment of triangle MLN and its length is 6, what can be inferred about the sides ML and LN?

Back

Sides ML and LN are each 12 units long.