•) write the properties of congruent segments
•) define parallel line with figure
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PROPERTIES OF CONGRUENCE
Reflexive Property
For all angles A
, ∠A≅∠A
An angle is congruent to itself.
These three properties define an equivalence relation
Symmetric Property
For any angles A and B
if ∠A≅∠B
, then ∠B≅∠A
Order of congruence does not matter.
Transitive Property
For any angles A,B, and C
if ∠A≅∠B
and ∠B≅∠C , then ∠A≅∠C
If two angles are both congruent to a third angle, then the first two angles are also congruent
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet
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