The F and G have **no symmetry lines**. Those letters cannot be folded in half with the portions matching in any way. The remaining letters, A, B, C, D, and E, have only one line of symmetry. The A has a vertical line of symmetry, whereas the B, C, D, and E have a horizontal line. These are the only possible lines of symmetry for all the letters.

Let us have a look at some more letters!

The F has **no line** of symmetry because it is invariant under both rotation by 180 degrees about its center and reflection across **its axis**. The G has no line of symmetry because it is invariant under rotation by 90 degrees but not under reflection across its axis.

The H has two lines of symmetry: one vertical and one diagonal. The I has three lines of symmetry: one vertical, one diagonal, and one axis of symmetry passing through its center.

The J has four lines of symmetry: one vertical, one horizontal, one diagonal, and one axis of symmetry passing through its center.

The K has **five lines** of symmetry: one vertical, one horizontal, one diagonally opposite another letter (or space) that is a member of **the same language group**, one imaginary diagonal connecting points on the boundary of our drawing plane, and one axis of symmetry passing through **its center**.

J, K, L, N, and P have no symmetry lines.

The A is the only letter that does not reflect across **its center point**. All the other letters are symmetrical about their centers.

K is the only letter that does not match the pattern of reflections around **a central point**. If you draw **any two lines** through the middle of K, they will never intersect in half-steps: it's like trying to divide by zero! So K is the only letter that cannot be used as a reference point for reflecting things elsewhere on the page.

However, if you look at a mirror image of K, then you will see that it matches the pattern of all the other letters. A mirror image is created by reflecting something across a line of symmetry. In this case, there is no line of symmetry running vertically through the middle of K, so it can be reflected in half-steps across a horizontal line to produce **another copy** of itself. Therefore, K is the only letter that has reflective symmetry.

Finally, P has no line of symmetry, so it cannot be paired with anything else on the page to create a duplicate pair.

Letters with horizontal lines of symmetry, such as B and D, have top and bottom sections that match. Some letters, such as X, H, and O, have **both vertical and horizontal symmetry lines**. Some, like P, R, and N, have no symmetry lines. The parts on either side of these lines are identical.

Symmetry is a great help in writing words correctly. For example, if you see that the ends of two words are the same, you should make sure they're spelled the same way. If they are, then they must be correct by definition. There's no need to check **any other words**. Words with **similar meanings** may also have similar spellings. So if you see "fly" and "flie", you know you need to write "fly".

Words that look the same but aren't related by meaning or spelling usually have **different origins**. For example, "ship" and "sail" come from the same root word, so they should sound the same. But they don't, because they're not related.

Words that come from different sources often do too. For example, "fly" and "lie" come from separate roots; therefore they can have different sounds associated with them. "Ship" and "sail" are homophones because they come from the same root word; thus they should have the same sound pattern whenever they appear together in a sentence.

Which letters are asymmetrical? F, G, J, L, N, P, Q, R, S, and Z are the only letters in the English alphabet that lack a line of symmetry. That is, there is no letter that looks exactly like its inverse.

In mathematics, an asymmetric relation is a relation where each element of the set relates to **only one other element**, rather than two. In mathematics and logic, an asymmetric relation is a binary relation on **a set X** such that for **any two elements** x and y of X, at most one of xy = 1 and xy = yx is true. Asymmetric relations may also be called unsymmetrical relations or one-way relations. The term "asymmetric relationship" is also used as a synonym for "incomplete relationship". Asymmetry is the opposite of symmetry. A symmetric relation is one that is equalities between pairs of elements are equivalent to each other. For example, the relations of equality and inequality are both symmetric because if x equals y then y equals x and this statement is identical to the statement that x! = y. However, the relation of inclusion is asymmetric because if x belongs to A and y belongs to B then it does not follow that y belongs to A and x doesn't belong to B.

Asymmetry is common in nature.

The letters A, M, T, U, V, W, and Y each feature a vertical line of symmetry that separates the letter into two corresponding mirror representations in **conventional typefaces**. B, C, D, E, and K all feature horizontal symmetry lines. In H, I, and X, there are both horizontal and vertical lines of symmetry.

There are two lines of The letter D has **two symmetry lines**. One goes through the middle and one goes along the bottom. These lines divide the letter into **two equal parts**.

D has four angles: at the top, bottom, left, and right. These angles are all similar, being opposite each other. They add up to 180 degrees. At the top and bottom there are two angles that are smaller than 90 degrees. These are called acute angles. At the left and right sides there are two angles that are larger than 90 degrees. These are called obtuse angles.

D is symmetrical with itself in every dimension except height. It is only taller than it is wide.

Symmetry is when two things are the same or equivalent, but not exactly the same because they are mirror images of each other. In mathematics and physics, symmetry is the property of remaining the same if some characteristics are changed. For example, a chair will still be a chair even if it is painted red or blue. A building will still be a building even if it is built out of wood instead of stone.