Question

Pentagon HIJKL is translated right 2 units and 9 units down to produce H'I'J'K'L'. Then, H'I'J'K'L' is reflected across the y-axis to produce H''I''J''K''L''.

Answer 1

New coordinates are H”” I”” J” K” L’

Answer 2

To visualize the transformation, you can draw the Pentagon HIJKL on a coordinate plane, where each vertex corresponds to a point in the plane. Let's say the coordinates of the vertices are:

- H = (x1, y1)
- I = (x2, y2)
- J = (x3, y3)
- K = (x4, y4)
- L = (x5, y5)

Then, to translate the pentagon right 2 units and down 9 units, you can add 2 to each x-coordinate and subtract 9 from each y-coordinate to get the new coordinates:

- H' = (x1 + 2, y1 - 9)
- I' = (x2 + 2, y2 - 9)
- J' = (x3 + 2, y3 - 9)
- K' = (x4 + 2, y4 - 9)
- L' = (x5 + 2, y5 - 9)

Next, to reflect H'I'J'K'L' across the y-axis, you can negate the x-coordinates to get the new coordinates:

- H'' = (-x1 - 2, y1 - 9)
- I'' = (-x2 - 2, y2 - 9)
- J'' = (-x3 - 2, y3 - 9)
- K'' = (-x4 - 2, y4 - 9)
- L'' = (-x5 - 2, y5 - 9)

These new coordinates represent the vertices of the transformed pentagon H''I''J''K''L''.

Note that the order of the transformations matters. If you had reflected the original pentagon across the y-axis first, and then translated it, you would have gotten a different result.