Chapter 5.2, Problem 11E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# a) Does the similarity relationship have a reflexive property for triangles (and polygons in general)?b) Is there a symmetric property for the similarity of triangles (and polygons)?c) Is there a transitive property for the similarity of triangles (and polygons)?

To determine

a)

Whether the similarity relationships have a reflexive property of triangles.

Explanation

Definition Used:

The reflexive property of congruence states that any polygon is congruent to itself.

Calculation:

Consider the figure as shown below:

To determine

b)

Whether a symmetric property exist for the similarity of triangle (and polygon).

To determine

c)

Whether a transitive property exist for the similarity of triangle (and polygon).

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