Given:
A figure of the quadrilateral is given.
The coordinate of the vertices is A(0,-1), B(1,2), C(3,1) and D(2,-1).
Required:
Translate the quadrilateral 3 units left and 2 units down. Find the
coordinates of the image.
Explanation:
The coordinates of the quadrilateral are A(0,-1), B(1,2), C(3,1) and D(2,-1).
To find the translation of the quadrilateral 3 units left and 2 units down subtract 3 from the x coordinate and 2 from the y coordinate.
Thus the coordinate of the image is as:
[tex]\begin{gathered} A^{\prime}=(0-3,-1-2) \\ =(-3,-3) \end{gathered}[/tex][tex]\begin{gathered} B^{\prime}=(1-3,2-2) \\ =(-2,0) \end{gathered}[/tex][tex]\begin{gathered} C^{\prime}=(3-3,1-2) \\ =(0,-1) \end{gathered}[/tex][tex]\begin{gathered} D^{\prime}=(2-3,-1-2) \\ =(-1,-3) \end{gathered}[/tex]
Final Answer:
The coordinates of the image of the quadrilateral are
[tex]A^{\prime}(-3,-3),B^{\prime}(-2,0),C^{\prime}(0,-1),D(-1,-3)[/tex]
