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Mathematics 17 Online
OpenStudy (godlovesme):

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'?

OpenStudy (godlovesme):

Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the y-axis Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the x-axis

OpenStudy (godlovesme):

hold on i'm uploading the pic..1 sec

OpenStudy (godlovesme):

umm sorry but i don't understand what u r saying?

OpenStudy (godlovesme):

OpenStudy (godlovesme):

but the figure isn't the same

OpenStudy (godlovesme):

@Directrix

OpenStudy (godlovesme):

yes :)

OpenStudy (godlovesme):

ok thanks :) @SolomonZelman help?

OpenStudy (godlovesme):

@ganeshie8

OpenStudy (godlovesme):

@iambatman @Whitemonsterbunny17 @Luigi0210

Directrix (directrix):

How is it going over here?

OpenStudy (godlovesme):

no one is helping :( @Nnesha

Directrix (directrix):

I think I know how to do the first part but when the reflecting begins, then we may need help. That is what I have trouble seeing sometimes.

OpenStudy (godlovesme):

i know reflecting :P i can try ._. i have the rule notes

Directrix (directrix):

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Let's test this option: Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis

Directrix (directrix):

Would you look on the diagram and get the vertices of A, B, C, D, and E?

OpenStudy (godlovesme):

A (-4,5) B(-6,4) C(-6,1) D(-2,2) E(-2,4)

Directrix (directrix):

A (-4, 5) Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis A (-4, 5) goes to A' (-4 + 8, 5 + 2) and then is reflected across the x-axis. A( -4,5) goes to A'' (4,7) and then flips across the x-axis to become A' which has what coordinates. I'm using A"" to be where A is before the flip to A' in option 1.

OpenStudy (godlovesme):

A isn't right i just tested it

Directrix (directrix):

So, the reflection interchanges x and y coordinates, right?

OpenStudy (godlovesme):

yes

Directrix (directrix):

So, let's test option B.

OpenStudy (godlovesme):

ok

Directrix (directrix):

A (-4, 5) goes to A"" (-2, 13) and then is reflected across the y-axis to A' (-2, -13) Is that correct? Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis

OpenStudy (godlovesme):

wait i think A is the correct answer look D(-2,2) after (x+8,y+2) it would be (6,4) after reflection over x-axis (6,-4) @Directrix

Directrix (directrix):

But, I thought point A did not gee-haw with A'. Let me look again.

OpenStudy (godlovesme):

okay :| this is confusing..

Directrix (directrix):

On the first option, (-4.5) went to (4,7) and then flipped across the x-axis to (4, - 7) is what I see. Is that what you see. Flipping across the x-axis keeps the x the same but changes the sign of the y. The next question is what are the coordinates of A' shown on the given diagram.

Directrix (directrix):

I am thinking that option A is holding true. We should test another point.

Directrix (directrix):

The 4 options are really just 2 options with the axis of reflection changed.

Directrix (directrix):

B to B' on the first option seems to work.

OpenStudy (godlovesme):

yay :) i'll check A to A'

OpenStudy (godlovesme):

ummm i don't think A works :( i give up i'll just call or text my teacher to clear this to me

Directrix (directrix):

A is working for me. I went through all 5 vertices. On which vertex did Option A fail for you?

OpenStudy (godlovesme):

point A

Directrix (directrix):

A has coordinates (-4, 5) Option A says do this: (x, y) →(x + 8, y + 2) So, (-4, 5) gets sent to (4, 7) using the rule. Do you agree before x-axis reflection.

OpenStudy (godlovesme):

ohhhhhh i forgot to do the y+2 :P i'm so dumb lol thanks soooooo much :D

Directrix (directrix):

So, then to flip about the x-axis keeps the x the same but changes the sign of the y. So, (-4, 5) gets sent to (4, 7) and then to (4, - 7) which is A' on the diagram.

OpenStudy (godlovesme):

yay :D omg u r so smart ad patient too :) thanks again

Directrix (directrix):

B has coordinates (-6, 4) Option A says do this: (x, y) →(x + 8, y + 2) So, (-6,4) goes to (2, 6) and then reflects to (2, -6) which is B' on the given diagram.

Directrix (directrix):

C (-5, 1) Option A says do this: (x, y) →(x + 8, y + 2) (-5, 1) goes to (3,3) and then flips to ( 3, -3) which is C'

OpenStudy (godlovesme):

ok thank youuuuuu :D @Directrix

Directrix (directrix):

So, you follow the pattern and test point D (-2,2).

Directrix (directrix):

@Godlovesme We'll pick up when you return, okay?

OpenStudy (godlovesme):

okay :) @Directrix

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