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.
Which statement could be proved with the help of the figure?
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Responses
The base angles of an isosceles triangle are congruent.
The base angles of an isosceles triangle are congruent.
Two triangles are similar if they have two pairs of congruent angles.
Two triangles are similar if they have two pairs of congruent angles.
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
The sum of the interior angles of a triangle equals 180°.
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The statement that could be proved with the help of the figure is:
A line connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
This is known as the Midsegment Theorem in geometry, which directly relates to the midpoints of sides in a triangle.
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