10. With a compass and rule, construct a segment whose length is the mean proportional between the lengths of two given segments (h is the mean proportional (or geometric mean) of two numbers a and b, if h2ab). Describe your construction and prove that the constructed segment is the required mean proportional. Use two-column proof. Copy and mark the diagram.

10. With a compass and rule, construct a segment whose length is the mean proportional between the lengths of two given segments (h is the mean proportional (or geometric mean) of two numbers a and b, if h2ab). Describe your construction and prove that the constructed segment is the required mean proportional. Use two-column proof. Copy and mark the diagram.

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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