Question

use the drop-down menus to select the correct type of transformation for each description. then complete the statement comparing the image and the pre-image. △abc undergoes three transformations: - it is dropdown centered at the origin using a scale factor of 4.2. - then dropdown 57° clockwise about the origin. - final dropdown over the x-axis. the final m dropdown but also dropdown to the pre-image.

Explanation:

Step1: Identify first transformation

A transformation with a scale factor centered at the origin is a dilation. So the first drop - down should be "dilated".

Step2: Identify second transformation

A transformation that rotates a figure by an angle (57° clockwise about the origin) is a rotation. So the second drop - down should be "rotated".

Step3: Identify third transformation

A transformation that flips a figure over the x - axis is a reflection. So the third drop - down should be "reflected".

Step4: Analyze similarity and congruence

Dilation changes the size (since scale factor is 4.2≠1), so the final image is similar (same shape, different size) but not congruent (congruent requires same size and shape) to the pre - image. So the first blank in the last part is "similar" and the second is "not congruent".

Answer:

First transformation: dilated; Second transformation: rotated; Third transformation: reflected; Final image relationship: similar, not congruent