△MNO is rotated about point A to △M′N′O′ . Which statements are true about the pre-image and image? Select each correct answer. The image is the same shape but a different size than the pre-image. MN¯¯¯¯¯¯¯≅M′N′¯¯¯¯¯¯¯¯¯ ∠NOM≅∠N′O′M′ The image is the same size but a different shape than the pre-image.

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remotecontrolbrain remotecontrolbrain · Answer 1 · 2018-10-18T19:35:39+02:00

Only the two hold:

MN≅M′N′

∠NOM≅∠N′O′M′

Both the size and shape are the same so the other choices are out.

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JeanaShupp JeanaShupp · Answer 2 · 2019-10-22T16:30:36+02:00

Answer: [tex]\overline{MN}\cong\overline{M'N'}[/tex]

∠NOM≅∠N′O′M′

Step-by-step explanation:

A rotation is a rigid transformation that produces congruent images ,

i.e. The image has the same size and shape as the pre-image.

i.e. it preserves the side length and of the pre-image.

If △MNO is rotated about point A to △M′N′O′ , then △MNO≅△M′N′O′

Since , [tex]\overline{MN}[/tex] and [tex]\overline{M'N'}[/tex] are corresponding sides and ∠NOM are ∠N′O′M′ corresponding angles

⇒[tex]\overline{MN}\cong\overline{M'N'}[/tex]

and ∠NOM≅∠N′O′M′

Hence, the statements are true about the pre-image and image :

[tex]\overline{MN}\cong\overline{M'N'}[/tex]

∠NOM≅∠N′O′M′