Question

1 triangle abc was dilated by a scale factor of 3 with the origin as the center of dilation to create triangle abc. choose the correct answer from the drop-down menu to complete the statement. the rule (x, y) → drop - down menu with options: (x + 3, y + 3), (3x, 3y), (0.3x, 0.3y) represents the dilation.

Explanation:

Step1: Recall Dilation Rule

Dilation with scale factor \( k \) from origin: \((x,y) \to (kx,ky)\). Here, \( k = 3 \).

Step2: Analyze Options

• Option 1: \((x + 3, y + 3)\) is translation, not dilation.
• Option 2: \((3x, 3y)\) matches dilation with \( k = 3 \).
• Option 3: \((0.3x, 0.3y)\) is scale factor \( 0.3 \), not \( 3 \).

Answer:

\((3x, 3y)\)