1.The side of a regular pentagon is 7.8cm. Find (i) The length of the diagonal and (ii) The adjoining angle between two diagonals.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.3: Proving Lines Parallel
Problem 37E
Question
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1.The side of a regular pentagon is 7.8cm. Find
(i) The length of the diagonal and
(ii) The adjoining angle between two diagonals.

 

2.Construct quadrilateral PQRS such that
a. (i) Construct the locus of the point equidistant from
(ii) Name the point of intersection of the two loci
b. From O construct a perpendicular to RS and name the point of intersection of the perpendicular line RS, T.
c. With O as center and OT as the radius, construct a circle
d. Describe what you notice about this circle.

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