Which of the following letters have both horizontal and vertical lines of symmetry?
X
E
M
K
Goal: We need a letter that has two lines of symmetry:
1) a vertical line of symmetry (splits left and right equally)
2) a horizontal line of symmetry (splits top and bottom equally)
What is a line of symmetry?
If you fold a shape along this line, both halves match exactly.
Check each option (use block CAPITAL letters):
A) X
Step 1: Draw a straight line down the middle of X (vertical).
– The left side matches the right side.
Step 2: Draw a straight line across the middle of X (horizontal).
– The top part matches the bottom part.
Result: X has both vertical and horizontal lines of symmetry.
B) E
Step 1: Try a vertical line through the middle.
– Left and right do not match (one side has three arms). ❌
Step 2: Try a horizontal line through the middle.
– Top and bottom do not match (lengths and positions differ). ❌
Result: E has no vertical or horizontal symmetry.
C) M
Step 1: Try a vertical line through the middle.
– Left and right match for a standard block M.
Step 2: Try a horizontal line through the middle.
– Top and bottom do not match. ❌
Result: M has only vertical symmetry, not horizontal.
D) K
Step 1: Try a vertical line through the middle.
– Left and right do not match. ❌
Step 2: Try a horizontal line through the middle.
– Top and bottom do not match. ❌
Result: K has no vertical or horizontal symmetry.
Final Answer: Option A – X (X has both horizontal and vertical lines of symmetry.)
Note: We consider simple block capital letters. Fancy fonts can change symmetry.