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Mathematics 14 Online
OpenStudy (anonymous):

Can someone help me figure this out without giving me the answer using process of elimination? :) @iambatman @jim_thompson5910 A student performs two transformations on a figure on a coordinate plane. Which of the following series of transformations would NOT result in a congruent figure? A. a translation of 2 units up and then a dilation of B. a rotation of 90° around one point and then a reflection over the x-axis C. a reflection over the y-axis and then a reflection over the line y = x D. a translation of 9 units to the left and then a translation of 1 unit down

OpenStudy (anonymous):

1/2 is at the end of A, sorry. :)

OpenStudy (anonymous):

@iambatman @mathstudent55 @jim_thompson5910

jimthompson5910 (jim_thompson5910):

hint: think back to the problem that you posted right before this one

OpenStudy (anonymous):

C? 0_0 This one kinda confuses me.

jimthompson5910 (jim_thompson5910):

If you were to reflect a triangle over a line, are the two triangles congruent?

OpenStudy (anonymous):

Yes? Aren't they just a reflection of each other. They're still the same shape and size...

jimthompson5910 (jim_thompson5910):

so C is out because we're looking for a transformation that would NOT result in a congruent figure

OpenStudy (anonymous):

OK... @jim_thompson5910 I THINK it's A...

jimthompson5910 (jim_thompson5910):

why A? what transformation do you see that makes it the answer?

OpenStudy (anonymous):

Woops I meant B. :) @jim_thompson5910

jimthompson5910 (jim_thompson5910):

ok, why B?

OpenStudy (anonymous):

IDK! It might be A because It's the only one changing not turning.

jimthompson5910 (jim_thompson5910):

do translations keep the same size and shape of the figure?

OpenStudy (anonymous):

Yes? Don't they just move on the graph not change? o_o

jimthompson5910 (jim_thompson5910):

yep, so translations result in a congruent figure

jimthompson5910 (jim_thompson5910):

that's why D is out

jimthompson5910 (jim_thompson5910):

rotations do the same, so B is out

jimthompson5910 (jim_thompson5910):

dilations are one transformation that don't keep the shape the same which is why I was giving you the hint to go back and look at the previous problem you posted

jimthompson5910 (jim_thompson5910):

size and shape*

OpenStudy (anonymous):

So it is A?!?!? ):):):):):):):):):):):) @jim_thompson5910

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (anonymous):

Yay! Thanks! :)

jimthompson5910 (jim_thompson5910):

you're welcome

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