Here are five capital letters. E F T X Y Write... | Mathematics 0580 | Paper 3 Mock 01 | Calculator (Core)

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Here are five capital letters.

E F T X Y

Write down the letters that have exactly one line of symmetry.

Answer

Answer Details

Test each letter by asking whether a mirror placed on the letter, vertically or horizontally, reproduces the letter exactly. Use the standard printed capital forms.

E: a horizontal mirror through the middle bar matches the top arm with the bottom arm. One line of symmetry.
F: the arms are only at the top, so neither a horizontal nor a vertical mirror works. No lines of symmetry.
T: a vertical mirror down the stem matches the left half of the crossbar with the right half. One line of symmetry.
X: a vertical mirror works, a horizontal mirror also works, so X has more than one line (two), not exactly one.
Y: a vertical mirror down the stem matches the two upper arms. One line of symmetry.

Letters with exactly one line of symmetry: E, T and Y [B2] (two of these correct with no more than one extra letter earns [B1])

The trap is X. It is highly symmetrical, but the question asks for exactly one line, and X has two, so it must be left out.

Read lesson note on Symmetry (CIE)

Symmetry

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Here are five capital letters. E F T X Y Write down the letters that have exactly one line of symmetry.

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Here are five capital letters. E F T X Y Write down the letters that have exactly one line of symmetry.

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