Siti is designing the right half of a batik fabric pattern on a square grid. The completed left half of the pattern is a shaded rectangle occupying columns 1 to 3 and rows 1 to 4. The line of symmetry is the vertical line passing through column 3. Which shaded region correctly completes the symmetric figure?
Show Worked Solution
Worked Solution
Step 1: Identify the line of symmetry — it is the vertical line at column 3.
Step 2: Reflect each column of the left half across column 3:
- Column 1 is 2 units to the left of column 3, so its reflection is 2 units to the right — column 5.
- Column 2 is 1 unit to the left, so its reflection is 1 unit to the right — column 4.
- Column 3 is on the mirror line — stays at column 3.
Step 3: The right half therefore spans columns 3 to 5.
Step 4: The row range is unchanged by a vertical reflection, so rows 1 to 4 remain.
Answer: Columns 3 to 5, rows 1 to 4.
Correct answer: Columns 3 to 5, rows 1 to 4
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free