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There are a couple differences, but in equations, they are often used interchangeably. In geometry, you have to use transitive if you have congruence statements because you are not talking about measures of angles or lengths of segments, you are talking about the set of points that makes up those objects. They are congruent, not equal. Substitution is used for values or variable that represent numbers (like AB means the length of segment AB, but AB with the bar over it means segment AB, the points that make up AB).
Also, you couldn't use transitive for something like this, it's just substitution:
If x+y = z and x = 30, then 30+y = z
I like to think of applying transitive when I have a "link" that connects the two equations or congruencies to each other. For example, If A = 40 and A = X+Y, then 40=X+Y. The two quantities are linked by A. Of course, substitution applies there too
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What is the definition of substitution property?
Its an algebra property(: ask someone else cause i got no idea!
Which property is illustrated by the following statement if ABC is congruent to def and def to xyz then ABC is congruent to xyz?
Transitive
What is the definition of the transitive property of equality?
The transitive property of equality states for any real numbers a, b, and c: If a = b and b = c, then a = c. For example, 5 = 3 + 2. 3 + 2 = 1 + 4. So, 5 = 1 + 4. Another example: a = 3. 3 = b. So, a = b.
What are the Properties of equality in algebra?
for any real numbers x, y and z: REFLEXIVE PROPERTY; x=x SYMMETRIC PROPERTY; if x=y, then y=x TRANSITIVE PROPERTY; if x=y and y=z then x=z
Is wash a transitive verb?
yes the word wash is transitive
