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 not the same size size as the pre - image.
it is drop - down menu with options similar, not similar but also drop - down menu to the pre - image.

Explanation:

Step1: Analyze Transformations

Translations (left/up, right) are rigid motions (preserve shape/orientation). Dilation (scale factor 2.5) changes size but preserves shape (so orientation same, similar figures).

Step2: Orientation

Translations and dilation (center at origin, scale) don't flip/rotate orientation, so same orientation.

Step3: Position

Translations (left/up, right) and dilation (centered at origin) move the figure, so different position.

Step4: Size

Dilation with scale factor ≠1 (2.5) changes size, so not same size.

Step5: Similarity

Dilation preserves shape (angles equal, sides proportional), so final image is similar to pre - image.

Answer:

The final image has the same orientation, is in a different position, and is not the same size as the pre - image. It is similar to the pre - image. (For the drop - down with the arrow, the option is "similar"; the other drop - down related to the pre - image would also relate to similarity, e.g., "similar" as the relationship)