The triangles are congruent by the SSS congruence theorem.

Triangles A B C and F E D are shown. Triangle A B C is reflected across A C and then is shifted down and to the left to form triangle F E D.

Which rigid transformation(s) can map TriangleABC onto TriangleFED?

reflection, then dilation
reflection, then translation
rotation, then translation
rotation, then reflection

Given that ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem, the rigid transformations that maps ΔABC onto ΔFED are: B. reflection, then translation.

What is Reflection?

Reflection is a from of transformation whereby a figure is flipped over a line of reflection, making both figures exactly the same shape and size after the transformation.

See image attached for example of reflection.

What is Translation?

Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.

See image attached for example.

Therefore, given that ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem, the rigid transformations that maps ΔABC onto ΔFED are: B. reflection, then translation.

Learn more about rigid transformations on:

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