Question

write the coordinates of the vertices after a translation 9 units left.
a((\square,\square))
b((\square,\square))
c((\square,\square))
d((\square,\square))

Explanation:

Step1: Find original coordinates

From the graph:

• \( A(0, 2) \), \( B(10, 2) \), \( C(10, 9) \), \( D(0, 9) \) (assuming \( D \) is at \( (0,9) \) and \( C \) at \( (10,9) \) from the grid).

Step2: Apply translation (left 9 units: subtract 9 from x - coordinate, y remains)

• For \( A' \): \( x = 0 - 9 = -9 \), \( y = 2 \) → \( A'(-9, 2) \)
• For \( B' \): \( x = 10 - 9 = 1 \), \( y = 2 \) → \( B'(1, 2) \)
• For \( C' \): \( x = 10 - 9 = 1 \), \( y = 9 \) → \( C'(1, 9) \)
• For \( D' \): \( x = 0 - 9 = -9 \), \( y = 9 \) → \( D'(-9, 9) \)

Answer:

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