Question

write the coordinates of the vertices after a translation 14 units left and 7 units down. j(\square, \square) k(\square, \square) l(\square, \square) m(\square, \square)

Explanation:

Step1: Find original coordinates

From the graph:

• \( J(6, -3) \)
• \( K(6, 7) \)
• \( L(7, 7) \)
• \( M(7, -3) \)

Step2: Apply translation (left 14, down 7)

Translation rule: \( (x, y) \to (x - 14, y - 7) \)

• For \( J \):

\( x = 6 - 14 = -8 \), \( y = -3 - 7 = -10 \) → \( J'(-8, -10) \)

• For \( K \):

\( x = 6 - 14 = -8 \), \( y = 7 - 7 = 0 \) → \( K'(-8, 0) \)

• For \( L \):

\( x = 7 - 14 = -7 \), \( y = 7 - 7 = 0 \) → \( L'(-7, 0) \)

• For \( M \):

\( x = 7 - 14 = -7 \), \( y = -3 - 7 = -10 \) → \( M'(-7, -10) \)

Answer:

\( J'(-8, -10) \), \( K'(-8, 0) \), \( L'(-7, 0) \), \( M'(-7, -10) \)