Question

which transformations could have occurred to map △abc to △abc?
○ a rotation and a dilation
○ a rotation and a reflection
○ a reflection and a dilation
○ a translation and a dilation

Explanation:

• Rotation: The orientation of the triangle has changed, which is a characteristic of rotation.
• Dilation: The size of the triangle has changed (it has been scaled down), which is a characteristic of dilation.
• Reflection: There is no indication of a mirror - image (which would be present if reflection occurred).
• Translation: There is no indication of a simple slide (without rotation or resizing, which would be present if translation occurred).

Answer:

a rotation and a dilation