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
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The correct answer is that the line segment Ab is longer than the line segment DF .
Explanation :
- Since it is given that line segment BC is congruent to DE and line segment AC is congruent to FE.
- Now if angle C would have been equal to angle E then ΔABC would be congruent to ΔFDE .
- But here angle C is greater than angle E , hence they are not congruent and so line segment AB is longer than DE.
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