Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral A'B'C'D'. The coordinates of A' are (
,
).

The reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D". The coordinates of A" are (
,
).

Respuesta :

The coordinates of A'' will be ( -2, 5).

We are given that:

Quadrilateral ABCD is reflected across the x - axis.

We know that, when a refection is done about x-axis, the values of the abscissa x remain identical & the value of ordinate  just change their signs:

A(-5,-3) will become A'(-5,+3)

B(-6,-1) will become B'(-6,+1)

C(-3,-1) will become C'(-3,+1)

D(-2,-3) will become D'(-2,+3)

Now, the reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D".

So, the coordinates of A'' will become:

( - 5 + 3, 3 + 2)

( -2, 5)

Therefore, we get that, the coordinates of A'' will be ( -2, 5).

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