To complete these patterns, you need to use
line symmetry. That means each side of the mirror line should be a perfect reflection — like looking in a mirror.
There are two mirror lines in each problem: one vertical (up-down) and one horizontal (left-right). So you’ll reflect the shape across both lines to fill in all four quadrants.
Let’s go step by step for each figure:
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Top Left: House Shape
- The house is drawn in the top-right quadrant.
- First, reflect it over the
vertical mirror line → this gives you the left half of the top row (top-left quadrant).
- The door on the right becomes a door on the left.
- The window stays centered horizontally but flips position relative to the wall.
- The roof slope reverses direction.
- Then, reflect the entire top half (both left and right) over the
horizontal mirror line → this fills the bottom two quadrants.
- Everything gets flipped upside down.
- The base of the house becomes the top of the bottom part.
- Doors and windows appear inverted below.
Result: A full symmetrical “house” with matching halves above/below and left/right.
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Top Right: Zigzag Tree-like Shape
- Original shape is in top-left quadrant.
- Reflect over
vertical line → creates mirror image in top-right.
- Each zigzag point flips horizontally.
- Reflect both top parts over
horizontal line → fills bottom two quadrants.
- All points flip vertically too.
- The flat base at the bottom of the original now appears at the top of the bottom section.
Result: A diamond-shaped pattern made from 4 mirrored zigzags.
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Bottom Left: Arrowhead / Lightning Bolt Shape
- Original is in top-left quadrant.
- Reflect over
vertical line → top-right gets mirror image.
- Pointy end facing right becomes pointy end facing left.
- Reflect both top parts over
horizontal line → bottom two quadrants filled.
- Top becomes bottom; angles invert.
Result: A star-like or cross-like symmetric shape with 4 identical arms pointing outwards.
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Bottom Right: Crown / Mountain with Triangle Inside
- Original is in top-right quadrant.
- Reflect over
vertical line → top-left gets mirror image.
- The triangle inside flips left-to-right.
- The crown peaks reverse order.
- Reflect both top parts over
horizontal line → bottom two quadrants filled.
- Entire design flips upside down.
- The triangle points downward in the bottom half.
- Crown peaks become valleys.
Result: A fully symmetric emblem that looks the same when rotated 180° or reflected across either axis.
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✔ Final Answer:
Each pattern must be completed by reflecting the given shape across both the vertical and horizontal mirror lines. This creates four identical sections arranged symmetrically around the center. Draw the missing parts so that every point has a matching counterpart on the opposite side of each mirror line.
Parent Tip: Review the logic above to help your child master the concept of reflection symmetry worksheet.
