To determine which statement could be proved with the help of a figure, it's important to consider the nature of the statements.
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The sum of the interior angles of a triangle equals 180°: This statement is often illustrated with a triangle and does not necessarily require a figure to prove, but a diagram can help visualize it.
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A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length: This statement can be effectively proved using a figure, specifically through the construction of a triangle and highlighting the midpoints.
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The base angles of an isosceles triangle are congruent: This statement can also be illustrated and proved using a figure showing an isosceles triangle.
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Two triangles are similar if they have two pairs of congruent angles: This statement can be supported by a figure depicting two triangles, showcasing the angles and how they relate to similarity.
Based on this analysis, the statement "A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length" can be directly illustrated and proved using a triangle figure, making it the most suitable response in the context of using a figure to establish a proof.
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