Question

△abc undergoes three transformations:

• it is translated 4 units left and 7 units up.
• then it is dilated, centered at the origin using a scale factor of 2.5.
• finally it is translated 6 units right.

use the drop - down menus to correctly complete the statements.
the final image has the same orientation, is in a different position,
and is drop - down menu size as the pre - image.
it is drop - down menu with options the same, not the same size to the pre - image.

Explanation:

Step1: Analyze Transformations

Translations (left/right, up/down) and dilation (scale factor 2.5) are applied. Translations preserve orientation, dilation (non - 1 scale factor) changes size.

Step2: Orientation Check

Translations and dilation (centered at origin, positive scale factor) don't change orientation. So orientation is the same.

Step3: Position Check

Translations (4 left, 7 up, 6 right) and dilation change the position. So position is different.

Step4: Size Check

Dilation with scale factor 2.5 (not 1) changes the size. So size is not the same.

Step5: Similarity Check

Dilation (a similarity transformation) and translations: the final image is similar (same shape, different size) to pre - image. But for the size dropdown, we choose "not the same size".

Answer:

For the size dropdown: not the same size