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Explore the fascinating world of symmetry by examining groups of letters for vertical, horizontal, and point symmetry. This lesson helps students distinguish between symmetrical forms, providing examples with letters such as H, I, O, and X. Additionally, we define even and odd functions, illustrating that even functions are symmetric about the y-axis, while odd functions exhibit symmetry about the origin. Engage with practical graphing exercises to find lines or points of symmetry and solidify understanding through a worksheet designed for interactive learning.
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Warm-up • Express using radicals.
Understanding Symmetry and Its Relationship to Even and Odd Functions
Look at the following groups of letters and determine if they are symmetrical vertically, horizontally, or by point symmetry. A H I M O T U V W X Y
Look at the following groups of letters and determine if they are symmetrical vertically, horizontally, or by point symmetry. H I O X D
Look at the following groups of letters and determine if they are symmetrical vertically, horizontally, or by point symmetry. ZHX
Which letters are symmetrical both vertically and horizontally?
Which letters are symmetrical both vertically and horizontally?
write a paragraph explaining the differences between pointand line symmetries.
Graph the following functions and look for lines or points of symmetry.
Define even and odd functions. Even function – function whose graphs are symmetric with respect to the y-axis [f(x)=f(-x)] Odd function – function whose graphs are symmetric with respect to the origin [f(-x)=-f(x)]
