(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?...
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce9e1a47-ed9a-40b8-8e91-8b50bd0f3e93%2F660427ad-10ef-4b7b-9e5a-674147b11ba8%2Fq6db54p_processed.png&w=3840&q=75)
Transcribed Image Text:(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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