In the first series of transformations, the triangle ABC undergoes a rotation of 90 degrees clockwise and then a reflection across the z-axis to become triangle A''B''C''.
In the second series of transformations, the triangle ABC undergoes a reflection across the y-axis followed by a translation of (-3, -5) to become triangle A''B''C''.
In the third series of transformations, the triangle ABC undergoes a translation of (2, 0) and then a reflection across the r-axis to become triangle A''B''C''.
The final statement suggests that triangle ABC and A''B''C'' do not have the same orientation and are not congruent.
How would you describe this series of transformations?
(1 point)
Rotation of 90 degrees clockwise and then reflection across the z-axis shows that triangle ABC is congruent to triangle A ^ prime prime B^ prime prime C^ prime prime
Reflection across the y-axis and then a translation of (- 3, - 5) shows that triangle ABC is congruent to triangle A ^ prime prime B^ prime prime C^ prime prime
Translation of (2, 0) and then reflection across the r-axis shows that triangle ABC is congruent to triangle A ^ prime prime B^ prime prime C^ prime prime
Since triangles ABC and A "B"C" do not have the same orientation, they are not congruent.
1 answer