Question

Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain.

A) ΔABC has reflected across the y-axis and translated left 7. ΔA'B'C' ≠ ΔABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure.
Eliminate
B) ΔABC has reflected across the x-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.
C) ΔABC has reflected across line y-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.
D) ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.

Answer 1

The correct answer is D. ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.

Step-by-step explanation: ΔABC "flipped" over line p and shifted 7 units to the left. Reflections and translations do not affect the side lengths.