Question

write the coordinates of the vertices after a translation 9 units left.

Explanation:

Step1: Find original coordinates

The original coordinates are \( A(0,2) \), \( B(10,2) \), \( C(10,9) \), \( D(0,9) \).

Step2: Apply translation rule

Translation 9 units left means subtract 9 from \( x \)-coordinate.
For \( A(0,2) \): \( A'(0 - 9,2)=(-9,2) \)
For \( B(10,2) \): \( B'(10 - 9,2)=(1,2) \)
For \( C(10,9) \): \( C'(10 - 9,9)=(1,9) \)
For \( D(0,9) \): \( D'(0 - 9,9)=(-9,9) \)

Answer:

\( A'(-9,2) \), \( B'(1,2) \), \( C'(1,9) \), \( D'(-9,9) \)