how can u determine whether a design has a reflectional symmetry??
If it is reflection about y axis
then y = y
and x = -x
if it is about x, then x = x and y = -y
if it is about the line x = y then
x = y and y = x (interchange)
HOW CAN YOU DETERMINE WHETHER A DESIGH HAS REFLECTIONAL SYMMETRY?
To determine whether a design has reflectional symmetry, you can follow these steps:
1. Understand the concept of reflectional symmetry: Reflectional symmetry, also known as mirror symmetry, means that an object or design can be divided into two identical halves by a line of reflection. When one half is flipped over, it perfectly aligns with the other half.
2. Visualize the design: Look at the design and try to imagine or draw a line through the middle of it.
3. Examine the halves: Observe if the halves of the design are mirror images of each other. They should have the same shape, size, and arrangement of elements.
4. Check for alignment: Mentally or physically flip one half of the design over along the line of reflection and see if it aligns with the other half. The alignment should be perfect, with no differences or gaps between the two halves.
5. Analyze the pattern: Look for patterns or repeatable elements in the design. If these patterns are replicated on both sides of the line of reflection, it indicates reflectional symmetry.
6. Verify from different angles: Examine the design from various orientations to ensure that the reflectional symmetry holds true from different perspectives.
By going through these steps, you will be able to determine whether a design possesses reflectional symmetry.