Question

A sequence of transformations maps SABC onto AA′′B∘C. The type of transformation that maps AABC onto AA′BC is a

a) Translation
b) Rotation
c) Reflection
d) Dilation

Answer 1

The type of transformation that maps ΔABC onto AA'BC is a rotation.

Step-by-step explanation:

The type of transformation that maps ΔABC onto AA'BC is a rotation.

To understand why, let's analyze the different types of transformations:

1. Translation: A translation moves an object in a straight line without changing its shape, size, or orientation. It does not map ΔABC onto AA'BC because the shape and orientation of the triangle would remain the same.
2. Reflection: A reflection flips an object over a line, creating a mirror image. It would not map ΔABC onto AA'BC because the shape and orientation of the triangle would be mirrored.
3. Dilation: A dilation changes the size of an object, making it larger or smaller. It would not map ΔABC onto AA'BC because the shape and orientation of the triangle would remain the same.
4. Rotation: A rotation turns an object around a fixed point, creating a new orientation. It maps ΔABC onto AA'BC because the shape and orientation of the triangle change.

Therefore, the correct answer is rotation.