Triangle ABC was dilated by a scale factor of 3. What are the new ordered pairs? A(3,6) B(9,9) C(6,12)

Question

*
A'(-3, -6) B'(-9, -9) C'(-6, -12)
A'(9, 18) B'(27, 27) C'(18, 36)
A'(1, 2) B'(3, 3) C'(2, 4)
A'(6, 12) B'(18, 18) C'(12, 24)

Answer 1

To find the new ordered pairs after dilating triangle ABC by a scale factor of 3, you need to multiply each coordinate by 3.

Let's calculate the dilated coordinates:

• For A(3, 6): \[ A' = (3 \times 3, 6 \times 3) = (9, 18) \]

• For B(9, 9): \[ B' = (9 \times 3, 9 \times 3) = (27, 27) \]

• For C(6, 12): \[ C' = (6 \times 3, 12 \times 3) = (18, 36) \]

So, the new ordered pairs after the dilation are:

• A'(9, 18)
• B'(27, 27)
• C'(18, 36)

Therefore, the correct choice is: A'(9, 18) B'(27, 27) C'(18, 36).