Question

in the similarity transformation of \\(\delta acb\\) to \\(\delta efd\\), \\(\delta acb\\) was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation ? .

options:

• \\((x+2, y-1)\\)
• \\((x+1, y+1)\\)
• \\((x+0, y+1)\\)
• \\((x+3, y-1)\\)

Explanation:

Identify coordinates of the original triangle

Using the Coordinate Dilation knowledge point

$$
LATEXBLOCK0
$$

Apply dilation by a scale factor of 2

Using the Coordinate Dilation knowledge point

$$
LATEXBLOCK1
$$

Apply reflection across the y-axis

Using the Coordinate Reflection knowledge point

$$
LATEXBLOCK2
$$

Determine the translation to the final triangle

Using the Coordinate Translation and Composite Transformations knowledge points

$$
LATEXBLOCK3
$$

Answer:

• (A) \((x+2, y-1)\)
• (B) \((x+1, y+1)\)
• (C) \((x+0, y+1)\)
• (D) \((x+3, y-1)\) (Correct answer)