Explanation:
To determine whether Angelica's transformed figure matches A"B"C"D"E" after reflecting ABCDE over the y-axis and translating it up 8 units, we need to first understand what A"B"C"D"E" is.
A"B"C"D"E" is the image of ABCDE under a reflection over the y-axis, followed by a translation up 8 units. So if Angelica's transformation is equivalent to this sequence of operations, then her transformed figure will match A"B"C"D"E".
Let's first perform the reflection over the y-axis on ABCDE. To do this, we need to negate the x-coordinates of each point:
A (-2, 3) -> A' (2, 3)
B (-4, 1) -> B' (4, 1)
C (-3, -2) -> C' (3, -2)
D (-1, -2) -> D' (1, -2)
E (1, 1) -> E' (-1, 1)
Now let's translate this figure up 8 units:
A' (2, 3) -> A" (2, 11)
B' (4, 1) -> B" (4, 9)
C' (3, -2) -> C" (3, 6)
D' (1, -2) -> D" (1, 6)
E' (-1, 1) -> E" (-1, 9)
Therefore, A"B"C"D"E" has vertices A" (2, 11), B" (4, 9), C" (3, 6), D" (1, 6), and E" (-1, 9).
If Angelica's transformed figure is identical to A"B"C"D"E", then its vertices will also be A" (2, 11), B" (4, 9), C" (3, 6), D" (1, 6), and E" (-1, 9).
Without knowing what ABCDE looks like, we cannot determine whether Angelica's transformed figure matches A"B"C"D"E". However, we can say that Angelica's transformed figure will have the same shape and orientation as ABCDE, but will be reflected over the y-axis and shifted up 8 units.