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Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was able to map one figure onto the other using a reflection and a rotation. Amad concluded: "I was able to map \triangle ABC△ABCtriangle, A, B, C onto \triangle EDF△EDFtriangle, E, D, F using a sequence of rigid transformations, so the figures are congruent."

Amad was curious if triangles triangle ABCABCtriangle A B C and triangle EDFEDFtriangle E D F were congruent He was able to map one figure onto the other using class=
Amad was curious if triangles triangle ABCABCtriangle A B C and triangle EDFEDFtriangle E D F were congruent He was able to map one figure onto the other using class=

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Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

Amad had done no error. His conclusion is true.

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.

For example,

In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.

Sides: AB = PQ, BC = QR and AC = PR;

Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.

Therefore, Δ ABC ≅ Δ PQR

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 correct. There is no error he made.

Hence, Amad had not made any error.

Learn more about congruency here:

https://brainly.com/question/14011665

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