An L-shaped figure is drawn on a square dot grid. Its vertices are at A(1,1), B(1,5), C(2,5), D(2,2), E(4,2) and F(4,1). The vertical line x = 6 is the mirror line. When the L-shaped figure is reflected across this mirror line, what are the coordinates of the image of vertex B?
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Worked Solution
Step 1: Identify the mirror line.
The mirror line is the vertical line x = 6.
Step 2: Find the reflected x-coordinate of vertex B(1, 5).
For a reflection across a vertical line x = k, the formula is:
x' = 2k − x
x' = 2 × 6 − 1 = 12 − 1 = 11
Step 3: The y-coordinate does not change for a vertical mirror line.
y' = 5
Step 4: Write the coordinates of the image of B.
B' = (11, 5)
Answer: (11, 5)
Correct answer: (11, 5)
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