Question

write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin.

Explanation:

Step1: Identify original vertices

Original coordinates: $J(-3,1)$, $K(-3,2)$, $L(-2,2)$

Step2: Apply dilation rule

For a dilation centered at origin with scale factor $k$, new coordinate $(x',y')=(k \cdot x, k \cdot y)$. Here $k=3$.

• For $J$: $x' = 3 \times (-3) = -9$, $y' = 3 \times 1 = 3$
• For $K$: $x' = 3 \times (-3) = -9$, $y' = 3 \times 2 = 6$
• For $L$: $x' = 3 \times (-2) = -6$, $y' = 3 \times 2 = 6$

Answer:

$J'(-9, 3)$, $K'(-9, 6)$, $L'(-6, 6)$