Question

multiple choice 1 point
which of the following transformations have their pre - image and image congruent to each other?
¿cuáles de las siguientes transformaciones tienen su pre - imagen e imagen congruentes entre sí?
i. translation (traslación)
ii. rotation (rotación)
iii. reflection (reflejo)
iv. dilation (dilatación)
i, ii, and iv
i, ii, and iii
i, iii, iv
ii, iii, and iv
clear my selection

Explanation:

Step1: Recall transformation properties

Translation, rotation, and reflection are rigid - motions. Rigid - motions preserve the shape and size of the pre - image, which means the pre - image and image are congruent.

Step2: Analyze dilation

Dilation changes the size of the pre - image. If the scale factor of dilation is not 1, the pre - image and image are not congruent.

Answer:

B. I, II, and III