Question

Trapezoid ABCD was transformed to produce trapezoid A'B'C'D'. Which statement justifies why the two figures are congruent? A. Trapezoid ABCD was dilated to produce trapezoid A'B'C'D'. B. By definition, transformations always produce congruent figures. C. The transformations applied to trapezoid ABCD were rigid transformations. D. The transformations applied to trapezoid ABCD were not rigid transformations.

Answer 1

Answer: The transformations applied to trapezoid ABCD were rigid transformations.

(C)

Explanation:

Answer 2

C

Explanation:

Trapezoid ABCD was transformed to produce trapezoid A'B'C'D'.

"the two figures are congruent" = the 2 figures have ≅ sides and ≅angles

❌A. Trapezoid ABCD was dilated to produce trapezoid A'B'C'D'.

Dilation will change the measure of the sides

❌B. By definition, transformations always produce congruent figures.

Not all transformations produce ≅ figures, for example dilation

✅C. The transformations applied to trapezoid ABCD were rigid transformations.

A rigid transformation does not change the shape and the size of a figure therfore the 2 figures have ≅ sides and ≅angles

❌D. The transformations applied to trapezoid ABCD were not rigid transformations.