Geometry
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Geometry

by Carlos Contreras
(Tx Houston)










































Give an example of the following property justifications,
a)Reflexive

b)Symmetric

c)Transitive

Comments for Geometry

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Dec 12, 2011
Geometric Properties
by: Staff

Question:

by Carlos Contreras
(Houston, TX)


Give an example of the following property justifications,

a) Reflexive

b) Symmetric

c) Transitive



Answer:


REFLEXIVE PROPERTY: every geometric figure is congruent to itself


Look at the following geometric figure:

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AB ≅ CD, given

AC ≅ BD, given

BC ≅ CB, REFLEXIVE PROPERTY

Δ ABC ≅ Δ BDC, SSS Theorem




SYMMETRIC PROPERTY:

A symmetric property in mathematics can be stated:

if a=b, then b=a
examples would be:

(numbers are listed in
reverse order - a reflection)

7+4 = 4+7

X+5 = 5+X

In geometry, an example of the Symmetric Property of Congruence is:

If angle A is congruent to angle B, then angle B is congruent to angle A.



TRANSITIVE PROPERTY:


An example of how this principle can be applied to mathematics is:

.5 = 1/2

1/2 = 2/4

Therefore,

.5 = 2/4

In geometry, an example of the transitive property is:

BG = EQ

EQ = PT

Therefore,

BG = PT




Thanks for writing.

Staff
www.solving-math-problems.com


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