Question

Which rule describes the composition of transformations that maps δabc to δa"b"c"? translation of negative 6 units x, negative 2 units y composition reflection across the x-axis reflection across the x-axis composition translation of negative 6 units x, negative 2 units y translation of negative 6 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 translation of negative 6 units x, negative 2 units y

Answer 1

The question is about identifying the correct sequence of geometric transformations that maps one triangle to another. Without additional information or a diagram, it's not possible to provide the correct answer.

Step-by-step explanation:

The student's question revolves around identifying the correct rule of composition of transformations that maps triangle ABC to its image A"B"C". The options provided suggest various sequences of transformations which include translations, reflections, and rotations.

To solve this, it's necessary to understand each transformation:
- A translation by -6 units in the x direction and -2 units in the y direction moves a point 6 units left and 2 units down.
- A reflection across the x-axis flips a point over the x-axis, changing the sign of the y-coordinate.
- A 90-degree rotation about the origin (point 0) turns points 90 degrees counterclockwise around the origin.

Consequently, the correct order depends on the final position of triangle A"B"C". If it's been reflected across the x-axis and then translated, the second option is correct. If the triangle is first translated and then rotated, the third transformation applies. Without a diagram or further information on the final location of A"B"C", determining the correct transformations is not feasible.