(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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Question

(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.

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