Question

Triangle 1 is transformed onto triangle 2 in the graph below.

On a coordinate plane, triangle 1 is rotated to form triangle 2.

Which statement about the transformation is true?
The transformation is a reflection because triangle 2 is a flip of triangle 1.
The transformation is a dilation because triangle 2 is a different size than triangle 1.
The transformation is a vertical translation because triangle 1 slid vertically.
The transformation is a rotation because triangle 2 is a quarter turn of triangle 1.

Answer 1

Answer:

The correct statement about the transformation from triangle 1 to triangle 2 in the given scenario is:

The transformation is a rotation because triangle 2 is a quarter turn of triangle 1.

Explanation:

1. A reflection would result in a mirror image of triangle 1, which is not the case here.

2. A dilation would involve a change in size, but triangle 2 being a different size than triangle 1 doesn't necessarily indicate a dilation.

3. A vertical translation would involve sliding the entire triangle vertically without rotation, which is not what is observed in the transformation.

4. The transformation from triangle 1 to triangle 2 shows that triangle 2 is a quarter turn of triangle 1. This means that the transformation is a rotation, as the orientation of the triangles has changed by a quarter turn.