By SSS congruency criteria ΔABC ≅ ΔDEF
<h3>What is congruency?</h3>
Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The given vertices of the triangles are;
ΔABC: A(−4, −3), B(0, 0), C(2, −3)
ΔDEF: D(3, 1), E(6, -3), F(3, −5)
The lengths of the sides of ΔABC are
AB = √((0+4)² + (0+3)²) = √25 = 5
BC = √((2-0)² + (-3 - 0)²) = √13
AC = √((2+4)² + (-3 +3)²) = √36 = 6
The lengths of the sides of ΔDEF are;
DE = √25=5
EF = √13
DF = √36 = 6
As,
AB= DE, BC = EF , AC= DF
So, By SSS congruency criteria ΔABC ≅ ΔDEF
Learn more about this concept here:
brainly.com/question/6563819
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