(4) Consider the vertex figures below: 3.3.4.3.4 3.3.3.4.4 3.12.12 4.6.12 3.6.3.6 3.3.3.3.6 3.4.6.4 4.8.8 (a) Show that the interior angles of the four polygons add to 360° (b) Explain why or why not this vertex figure can be extended to form a semiregular tiling of the plane.
(4) Consider the vertex figures below: 3.3.4.3.4 3.3.3.4.4 3.12.12 4.6.12 3.6.3.6 3.3.3.3.6 3.4.6.4 4.8.8 (a) Show that the interior angles of the four polygons add to 360° (b) Explain why or why not this vertex figure can be extended to form a semiregular tiling of the plane.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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