Symmetry Math Example 1
Follow the full solution, then compare it with the other examples linked below.
Example 1
easyDoes a square have a line of symmetry? Draw and describe one.
Solution
- 1 Step 1: A line of symmetry divides a shape into two mirror-image halves.
- 2 Step 2: Draw a vertical line through the midpoints of the top and bottom sides of the square.
- 3 Step 3: The left half is a mirror image of the right half, so this is a valid line of symmetry.
- 4 Step 4: A square actually has 4 lines of symmetry (2 through midpoints of opposite sides, 2 through opposite corners).
Answer
Yes. A square has 4 lines of symmetry.
Symmetry means one side is a perfect reflection of the other across the line. A square's high regularity gives it 4 such lines — more than any other rectangle.
About Symmetry
A geometric property where a figure remains unchanged under a specific transformation such as reflection, rotation, or translation. A shape has reflection symmetry when a line divides it into two mirror-image halves, and rotational symmetry when it looks the same after turning by a certain angle.
Learn more about Symmetry →