Question

Stefan was able to map \triangle ABD△ABDtriangle, A, B, D onto \triangle ABC△ABCtriangle, A, B, C. Stefan concluded: "I was able to map \triangle ABD△ABDtriangle, A, B, D onto \triangle ABC△ABCtriangle, A, B, C using a sequence of rigid transformations, so the figures are congruent." What error did Stefan make in his conclusion? Choose 1 answer: Choose 1 answer: (Choice A) A Stefan didn't use only rigid transformations, so the figures are not congruent. (Choice B) B It's possible to map \triangle ABD△ABDtriangle, A, B, D onto \triangle ABC△ABCtriangle, A, B, C using a sequence of rigid transformations, but the figures are not congruent. (Choice C) C There is no error. This is a correct conclusion.

Answer 1

Answer: Stefan didn’t use only rigid transformations, so the figures are not congruent

Step-by-step explanation:

Answer 2

Stefan didn’t use only rigid transformations, so the figures are not congruent.

What is Congruency?

Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.

In the given, Δ ABC and Δ ABD are not congruent triangles. if they are congruent then This means that the corresponding angles and corresponding sides in both the triangles are equal.

The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles;

SSS (Side, Side, Side)

SAS (side, angle, side)

ASA (angle, side, angle)

AAS (angle, angle, side)

RHS (Right angle-Hypotenuse-Side or the Hypotenuse Leg theorem)

As, from the given cases the prediction of congruency of two triangles is incorrect. There is no error he made.

Hence, Stefan didn’t use only rigid transformations, so the figures are not congruent

Learn more about congruency here:

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