My blog today will be about segment congruence, properties of equality, deductive proof, conjecture, and inductive reasoning. I will be answering the following questions given to me by my geometry teacher. Enjoy! :D
#36 CRITICAL THINKING Use the definition of segment congruence and the properties of equality to show that all three properties of congruence are true segments.
When you are given two segments that are congruent with each other it means they have same lengths. If a property of equality involves congruent segments, they're involved in property of congruency as well. Both property of equality and property of congruency are corresponding when two segments are congruent.
Reflexive property of equality and reflexive property of congruency.
A̅B̅= A̅B̅ is the same as A̅B̅
A̅B̅Transitive property of equality and transitive property of congruency.
A̅B̅=C̅D̅, C̅D̅=E̅F̅, A̅B̅=E̅F̅ is the same as A̅B̅
C̅D̅ ,C̅D̅E̅F̅,A̅B̅E̅F̅Symmetric property of equality and symmetric property of congruency.
A̅B̅=B̅A̅ is the same as A̅B̅
B̅A̅#38 WRITE ABOUT IT Compare the conclusion of a deductive proof and a conjecture based on inductive reasoning.
Inductive reasoning involves pattern, they use their observations to see a pattern while deductive reasoning uses logic to draw conclusions from given facts, definitions, and properties.
In conclusion properties of equality and properties of congruency are alike in many ways. Also, don't forget that inductive reasoning and deductive reasoning are two different things!
Okay bye! Hope you enjoyed my blog :)
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