Question

"Select all the correct answers. у5-5-4-3- 21234-1A-2-3-4-5 Which sequences of transformations applied to shape I prove that shape I is similar to shape II?"

Option 1: Translation and reflection.
Option 2: Rotation and dilation.
Option 3: Reflection and dilation.
Option 4: Translation and rotation.

Answer 1

To prove the similarity between shape I and shape II, the correct sequences of transformations are translation and reflection, and translation and rotation.

Step-by-step explanation:

To prove that shape I is similar to shape II, we need to examine the sequences of transformations applied to shape I. Out of the given options, the correct sequences of transformations that would prove the similarity between the two shapes are:

1. Translation and reflection: This combination of transformations can preserve the shape's size and orientation.
2. Rotation and dilation: These transformations can change the size and orientation of the shape, causing it to be dissimilar to shape II.
3. Translation and rotation: These transformations preserve the shape's size but change its orientation, resulting in a dissimilarity to shape II.