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Grade 5 · Printables

Lines of symmetry

Fold it, and finish it. Part of numbers to a million.

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Lines of symmetry

Fold it, and finish it · Alberta Grade 5 · maddyhelps.com

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Draw every line of symmetry on each shape and write how many — one of them has none. Then finish each half-shape so the dashed line is its line of symmetry: every corner on the other side is the same distance from the line.

Square

lines

Rectangle

lines

Triangle

lines

Parallelogram

lines

Hexagon

lines

Trapezoid

lines

For the grown-up

Lines of symmetry

Square: 4; Rectangle: 2; Triangle: 3; Parallelogram: 0; Hexagon: 6; Trapezoid: 1. The rectangle's lines go through the middles of opposite sides, not the corners. The halves are finished by reflecting each corner across the dashed line: same distance, other side.

The rectangle's diagonals are the classic wrong answer, and the parallelogram is the surprise: it looks balanced but has no line of symmetry at all. Folding a paper cut-out shows both. A circle, not on the sheet, has endless lines — any line through the centre.

Why this matters is on the numbers to a million page. More sheets