KA-0142Line and rotational symmetry
3 points, difficulty 1 of 3Level 5–6about 45sWhich capital letter, printed plainly, has both a horizontal and a vertical line of symmetry?
Hints
Take them one at a time. The first gives nothing away.
1A nudge
Fold each letter twice: across, then down.
2The strategy
Test both folds separately on every letter. A letter passes only if the two halves land exactly on each other for the horizontal fold and for the vertical fold.
3The full solution
A and T fold vertically only. B folds horizontally only. Z looks the same upside down but has no fold at all. H folds both ways.
Solution— no shortcut on this one
Test both folds on each letter. A folds along a vertical line but not a horizontal one. B folds horizontally but not vertically. T folds vertically only. Z has no line of symmetry at all - it looks the same when turned half a turn, which is rotation, not reflection. H folds along both its vertical and its horizontal midline. The transferable idea: looking the same after a turn is not the same as having a line of symmetry, and choice E is exactly that confusion.
Why this is on the test: Confusing rotational symmetry with a line of symmetry is a distinct, common error, and Z is the letter that exposes it.