Question

Translate the quadrilateral3 units left and 2 unitsdown. What are thecoordinates of the image?-

Answer 1

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.

Step-by-step 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:

`\begin{gathered} A^(\prime)=(0-3,-1-2) \\ =(-3,-3) \end{gathered}`
`\begin{gathered} B^(\prime)=(1-3,2-2) \\ =(-2,0) \end{gathered}`
`\begin{gathered} C^(\prime)=(3-3,1-2) \\ =(0,-1) \end{gathered}`
`\begin{gathered} D^(\prime)=(2-3,-1-2) \\ =(-1,-3) \end{gathered}`

Final Answer:

The coordinates of the image of the quadrilateral are

`A^(\prime)(-3,-3),B^(\prime)(-2,0),C^(\prime)(0,-1),D(-1,-3)`