In the triangles, Line segment A C is-congruent-to line segment F E and Line segment B C is-congruent-to line segment D E. Triangles A B C and F D E are shown. The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Angle B C A is 72 degrees. Angle D E F is 65 degrees. Which statement correctly compares Line segment A B and Line segment F D? Line segment A B and Line segment F D are the same length. Line segment A B is longer than Line segment F D. Line segment A B is shorter than Line segment F D. Line segment A B is shorter than or the same length as Line segment F D.

Answer:Line segment A B is longer than Line segment F D. This is the correct statement from the given statements.Step-by-step explanation:Given:In ΔABC and ΔFDESegment AC≅Segment FESegment BC≅Segment DE ∠BCA = 72° and ∠DEF = 65°Now by the property of a Triangle we know thatSide opposite to the greater angle is longer than the side opposite to the smaller angle.So, Side opposite to the greater angle (∠BCA = 72°) is AB and The side opposite to the smaller angle (∠DEF = 65°) is FD.Therefore, side AB is Longer than side FD.