Question

The triangle UVW shown on the coordinate grid below is reflected once to map onto triangle U'V'W':

If vertex W' is at (−8, 2), what are the coordinates of vertex U'?

(−6, 5)
(6, −5)
(−6, −4)
(−2, 4)

Answer 1

@calculusxy

Answer 2

To solve this question, think about how vertex W became vertex W'. Meaning what needed to be done with the figure to get a point W'?

Answer 3

What do you need to do to get from vertex W(8, 2) to vertex W'(-8, 2)?

Answer 4

If you need a help in analyzing what needed to be done to get to W', you might want to plot the vertex (-8, 2) and what was done.

Answer 5

i di and i got the third one as the answer? is it right @calculusxy

Answer 6

The third one is incorrect. But the point is half-correct in that answer.

Answer 7

In other words, one of the points from the third answer of (-6, -4) is correct and the other one is not.

Analyze what has happened from (8, 2) to get to (-8, 2).

Answer 8

it turned into a negative when it transformed? @calculusxy

Answer 9

Which point turned into a negative? The x- or the y-coordinate?

Answer 10

The y? @calculusxy

Answer 11

Are you sure?

Answer 12

not really!?? im sorry

Answer 13

Notice that 8 turned into -8 and this was found in the x-coordinate. But 2 remained the same in vertex W and vertex W'.

Answer 14

yess

Answer 15

so its -6, 5?

Answer 16

Correct! And since the x-coordinate turned into it's opposite, it is fair to conclude that the figure was reflected across the y-axis.

Answer 17

ohh okayy, thankyouu som uchh! could u help me on some more?

Answer 18

OK. Only one more.