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Nesterboy [21]
3 years ago
7

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. Trian

gles 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
Mathematics
2 answers:
alexira [117]3 years ago
6 0

Answer:

The answer is...... LONGER THAN

Step-by-step explanation:

harina [27]3 years ago
3 0

Answer:

Longer than

Step-by-step explanation:

The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:

AC = FE, BC = DE

Also m∠C is greater than m∠E

∠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

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