Question

~Properties in Advanced Euclidean Geometry~
Fan and medal guaranteed for logical, real life examples.

Give a geometric example of the Symmetric Property.

Give an algebraic example of the Transitive Property.

Give an algebraic example of the Reflexive Property.

Give a geometric example of the Commutative Property.

Give an algebraic example of the Distributive Property.

This is for my Advanced Euclidean Geometry - Section 2.10 review.
Thank you for your time.

Answer 1

First symmetry implies same shape different orientation, like if we slice a piece of pie in half perfectly..

Answer 2

Transitive is x+y=z and x+y=a therefore what else equals z?

Answer 3

a+b+c+d=e

b+c+d+e=12

Transitive Property
a+2b+2c+2d=12