Question

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?

Answer 1

Answer:Given that ABC FED are congruent by the SSS Congruence Theorem, the rigid transformations that maps ABC onto FED are: B reflection, then translation.

Step-by-step explanation: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.

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.

Answer 2

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

Explanation:

ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.

Hence, the rigid transformations that map ΔABC onto ΔFED by reflection and then translation.