![]() ![]() Symmetric Triangles (Isosceles and Equilateral) The function y= x 2 defines a parabola in which These symmetries will be useful when applied to various polygons. Rorschach inkblots and logos commonly are reflective-symmetric. If a figure is symmetric, then any pair of corresponding parts The section concludes with the following important result. The semicircles are reflections of each other). (no matter which way you draw the diameter, This is the same as the letter I discussed above.Īngles only have one line of symmetry: the angleīisector which causes one ray to reflect onto the other ray.Ī circle has infinitely many lines of symmetry Our textbook states and proves what they call theįlip-Flop Theorem: (reflection is symmetric). Them into a crossword puzzle (for extra credit)! Of letters with a vertical line of symmetry.Īfter collecting enough of these words you might make Or MOM, WAXY, YOUTH (written vertically!) composed entirely There may be more than one line of symmetry.Ī challenge would be to find words such as DIXIE or COOKBOOKĬomposed entirely of letters with a horizontal line of symmetry Whereas others are symmetric about a vertical line (AHIMOTUVWXY).Īs you can see since some are in both lists (HIOX), Some are symmetric about a horizontal line (BCDEHIKOX) The capital letters A, B, C, D, E, H, I, K, M, O, T, U, V, W, X, and YĪre often written as reflection symmetric figures. This line is a symmetry line for the figure. If and only if there is a line which reflects the figure onto itself. ![]() Noether's Theorem, Homework Reflection-Symmetric Figures.Incenter, Circumcenter, Orthocenter, and Centroid.Hierarchy of Triangles, Symmetric Triangles (Isosceles, Equilateral).Symmetry and Polygons Back to the Table of Contents A Review of Basic Geometry - Lesson 6 Classifying Polygons by Symmetry Lesson Overview ![]()
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