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A triangle is marked clockwise from the lower left vertex as upper A upper B upper C. Point upper D is marked at the midpoint of side upper A upper B. Point upper F is marked at the midpoint of side upper A upper C.
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Which statement could be proved with the help of the figure?

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Responses

The sum of the interior angles of a triangle equals 180°
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The sum of the interior angles of a triangle equals 180 degrees .

Two triangles are similar if they have two pairs of congruent angles.
Two triangles are similar if they have two pairs of congruent angles.

The base angles of an isosceles triangle are congruent.
The base angles of an isosceles triangle are congruent.

A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

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Answered by GPT-5 mini AI
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Reason: If D = (A+B)/2 and F = (A+C)/2, then F − D = (C − B)/2, so DF is parallel to BC and |DF| = 1/2 |BC|.