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Mathematics 67 Online
OpenStudy (firejay5):

***I am drawing a picture so be patient with answers. Figure A has been rotated and translated to produce Figure A'. Which of the following statements are true? A. Figure A and A' do not have rotational symmetry. B. Figure A is congruent to Figure A'. C. Figure A and A' have one line of symmetry. D. Figure A is not similar to Figure A'.

OpenStudy (firejay5):

|dw:1403801222751:dw|

OpenStudy (anonymous):

i will go with C

OpenStudy (firejay5):

@avatarKorra why C?

OpenStudy (anonymous):

is there all of the above choice also

OpenStudy (firejay5):

@satellite73 @agent0smith

OpenStudy (agent0smith):

Go through and check if they're true, one at a time. A. Figure A and A' do not have rotational symmetry. - can you rotate A and get A'?

OpenStudy (firejay5):

yes cause Figure A is rotated 180 degrees to get Figure A'

OpenStudy (agent0smith):

So A is not true. Do the same for these: B. Figure A is congruent to Figure A'. C. Figure A and A' have one line of symmetry. D. Figure A is not similar to Figure A'.

OpenStudy (firejay5):

I think it's B, because they have the same shape and size, but it's just rotated

OpenStudy (firejay5):

If two shapes are congruent if you can turn, flip, and/or slide the figure to look the same

OpenStudy (firejay5):

am I right

OpenStudy (agent0smith):

Yes. C. Figure A and A' have one line of symmetry. - there's clearly more than one line D. Figure A is not similar to Figure A'. - they're congruent, so...

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