What is true about every rotation? a) the corresponding lengths, from the point of rotation, between the pre-image and image are preserved. b) the image is smaller than the pre-image. c) the image is larger than the pre-image. d) the image is reduced or enlarged by a scale factor.

A) The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.

Step-by-step explanation:

A rotation is a rigid transformation that maps a figure by rotating it about some degrees from a particular point of rotation.

Since all the rigid motions produces congruent images. Therefore rotation too creates congruent images ( shape and size remains same) .

And corresponding sides of congruent images are also congruent.

Therefore, The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.

Hence, the correct answer is option (A).

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

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