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TwiztTiez
 one year ago
Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2), and X(1, −2). Trapezoid WKLX was reflected across the yaxis 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)
TwiztTiez
 one year ago
Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2), and X(1, −2). Trapezoid WKLX was reflected across the yaxis 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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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let's look at a reflection across the yaxis. We start with point P with coordinates (a, b). dw:1432767317600:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Notice that point P(a, b) becomes point P'(a, b) after it is reflected across the yaxis. What change do you notice between (a, b) and (a, b) ? dw:1432767392230:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I 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 yaxis, a point with coordinates (a, b) becomes (a, b). What difference do you see between (a, b) and (a, b) ?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.1Ones negative the other is positive

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, but a better way of describing it is: In the reflections, the xcoordinate changed signs. The ycoordinate remained the same. Do you see that?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432768112117:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Great. Now look at all the 4 given points. Look at each choice. The answer is the one that has all xcoordinates with just a sign change, but all ycoordinates remain the same.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let'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 ycoordinates between points W and W' of choice C?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432768399814:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432768474614:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Both coordinates changed, and both changed more than just a sign change. Choice C cannot be the answer.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.1Oh okay well my other option is D

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We eliminated C. Why do you say your other option is D. There are three options besides C.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.1Well mainly from your description and it looks like the only one that makes sense

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let'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: \( Wꞌ(\color{red}{–3}, ~2)\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I wrote above that a reflection over the yaxis will give you an xcoordinate that changes sign from the original xcoordinate. Above, all xcoordinates are in red. The original xcoordinate is 2. A change in sign means it must become 2. Do you see a choice in which the xcoordinate is 2?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Exactly. Now notice that for all other points in choice B, the xcoordinate changes just the sign, and the ycoordinate remains the same.
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