Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2), and X(1, −2). Trapezoid WKLX was reflected across the y-axis to produce trapezoid WꞌKꞌLꞌXꞌ. Which coordinates describe the vertices of the image? A. Wꞌ(2, 3), Kꞌ(4, 3), Lꞌ(5, 2), and Xꞌ(1, 2) B. Wꞌ(−2, −3), Kꞌ(−4, −3), Lꞌ(−5, −2), and Xꞌ(−1, −2) C. Wꞌ(−3, −2), Kꞌ(−3, −4), Lꞌ(−2, −5), and Xꞌ(−2, −1) D. Wꞌ(–3, 2), Kꞌ(4, –3), Lꞌ(–2, 5), and Xꞌ(–2, 1)

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Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2), and X(1, −2). Trapezoid WKLX was reflected across the y-axis to produce trapezoid WꞌKꞌLꞌXꞌ. Which coordinates describe the vertices of the image? A. Wꞌ(2, 3), Kꞌ(4, 3), Lꞌ(5, 2), and Xꞌ(1, 2) B. Wꞌ(−2, −3), Kꞌ(−4, −3), Lꞌ(−5, −2), and Xꞌ(−1, −2) C. Wꞌ(−3, −2), Kꞌ(−3, −4), Lꞌ(−2, −5), and Xꞌ(−2, −1) D. Wꞌ(–3, 2), Kꞌ(4, –3), Lꞌ(–2, 5), and Xꞌ(–2, 1)

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Let's look at a reflection across the y-axis. We start with point P with coordinates (a, b). |dw:1432767317600:dw|
Okay
Notice that point P(a, b) becomes point P'(-a, b) after it is reflected across the y-axis. What change do you notice between (a, b) and (-a, b) ? |dw:1432767392230:dw|

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Would It be D
I haven't looked at he answers yet. I asked you a question. Answering it will help you understand this problem. In a reflection across the y-axis, a point with coordinates (a, b) becomes (-a, b). What difference do you see between (a, b) and (-a, b) ?
Ones negative the other is positive
Yes, but a better way of describing it is: In the reflections, the x-coordinate changed signs. The y-coordinate remained the same. Do you see that?
Oh okay
|dw:1432768112117:dw|
Great. Now look at all the 4 given points. Look at each choice. The answer is the one that has all x-coordinates with just a sign change, but all y-coordinates remain the same.
So C?
Let's look at just point W and point W' of choice C. W(2, -3) W'(-3, -2) Can you tell me what changed in the x- and y-coordinates between points W and W' of choice C?
|dw:1432768399814:dw|
|dw:1432768474614:dw|
Both coordinates changed, and both changed more than just a sign change. Choice C cannot be the answer.
Oh okay well my other option is D
We eliminated C. Why do you say your other option is D. There are three options besides C.
Well mainly from your description and it looks like the only one that makes sense
Let's just look at point W. Original: \(W(\color{red}{2}, ~−3)\) Choice A: \(Wꞌ(\color{red}{2}, ~3)\) Choice B: \(Wꞌ(\color{red}{−2}, ~−3)\) Choice C: \(Wꞌ(\color{red}{−3}, ~−2)\) Choice D: \( Wꞌ(\color{red}{–3}, ~2)\)
OHHHHHHHHH
Okayy I get it
I wrote above that a reflection over the y-axis will give you an x-coordinate that changes sign from the original x-coordinate. Above, all x-coordinates are in red. The original x-coordinate is 2. A change in sign means it must become -2. Do you see a choice in which the x-coordinate is -2?
B
Exactly. Now notice that for all other points in choice B, the x-coordinate changes just the sign, and the y-coordinate remains the same.
Thanks so much!
You're welcome.

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