Question

triangle abc is dilated by a scale factor of 4 to form triangle abc.

Explanation:

Step1: Find coordinates of ABC

First, identify coordinates of \( A \), \( B \), \( C \). From graph: \( A(1,2) \), \( B(3,3) \), \( C(3,1) \).

Step2: Apply dilation (scale factor 4)

Dilation rule: \( (x,y) \to (4x,4y) \).

• For \( A(1,2) \): \( A'(4(1),4(2)) = (4,8) \)
• For \( B(3,3) \): \( B'(4(3),4(3)) = (12,12) \)
• For \( C(3,1) \): \( C'(4(3),4(1)) = (12,4) \)

(Assuming the question was about finding new coordinates after dilation; since the original question's dropdown is unclear, this is the process for dilation of triangle ABC by scale factor 4.)

Answer:

New coordinates: \( A'(4,8) \), \( B'(12,12) \), \( C'(12,4) \) (or relevant answer based on dropdown context, but this is the dilation result).