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Quadrilateral ABCD has the following coordinates: A(-6,3) B(-4,5) C(-1,6) and D(-3,2) and
maps onto A"B"C"D". It will undergo transformations that will consist of a reflection over
the y-axis followed by a translation. Point D" is shown plotted in the plane after the
transformation.

A) Write the translation rule that maps point D' to point D".

B) Write the coordinates of point A"

Quadrilateral ABCD Has The Following Coordinates A63 B45 C16 And D32 And Maps Onto ABCD It Will Undergo Transformations That Will Consist Of A Reflection Over T class=

Sagot :

The translation rule that maps point D' to D" is (x + 3, y) and  the coordinate of point A" is (9,3)

How to determine the translation rule?

The coordinates are given as:

A(-6,3) B(-4,5) C(-1,6) and D(-3,2)

When reflected across the y-axis, the transformation rule is:

(x,y) -> (-x,y)

So, we have:

A' = (6,3)

D' = (3,2)

Point D" on the grid is (6,2).

This means that the translation rule that maps both point is (x + 3, y)

The coordinates of point A

In (a), we have:

A' = (6,3)

Using the translation rule (x + 3, y), we have:

A" = (6 + 3,3)

A" = (9,3)

Hence, the coordinate of point A" is (9,3)

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