In the triangles, Line segment B C is-congruent-to line segment D E and Line segment A C is-congruent-to line segment F 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. If m Angle C is greater than m Angle E, then Line segment A B is ________ Line segment D F. Congruent to longer than shorter than the same length as

∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF

AFOKE88 AFOKE88 · Answer 2 · 2022-01-19T13:31:04+01:00

From the given two triangles under the given conditions of congruency, we can say that;

Line segment AB is longer than Line segment FD.

Congruency

The image showing both triangles is missing and so i have attached it.

From the attached image, we see that BC is congruent to DE and AC is congruent to FE. Thus, if Angle BCA was congruent to angle DEF, then the it means that both triangles would be congruent as well, because it would satisfied the Side Angle Side (SAS) congruence postulate.

Therefore, we can say that line AB and line FD do not have the same length.

Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.

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