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The best way to describe symmetrical and asymmetrical wings in the shape of their wings. Click on the link below to see a picture of airfoil shapes.

https://image.slidesharecdn.com/8-2-120801195219-phpapp01/95/easa-part66-module-82-aerodynamics-7-638.jpg?cb=1350604442

Given the same flying conditions such as the angle of attack, the same airspeed, the same density of air, both symmetrical wings and asymmetrical wings can produce lift; however, the asymmetrical wing is designed to create more lift and less drag. Symmetrical wings are best used for aerobatic aircraft. Aerobatic aircraft need to generated lift even while spinning and going inverted or upside down.