1/2/25_A_Homework #8

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What is the Reflexive Property of Equality?

Back

For any number a, a = a. This property states that any quantity is equal to itself.

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What is the Symmetric Property of Equality?

Back

If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

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What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows us to conclude that if two quantities are each equal to a third quantity, they are equal to each other.

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What is the Substitution Property of Equality?

Back

If a = b, then b can be substituted for a in any expression. This property allows for the replacement of one quantity with another.

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What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c. This property states that adding the same value to both sides of an equation keeps the equation balanced.

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What is the Subtraction Property of Equality?

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If a = b, then a - c = b - c. This property states that subtracting the same value from both sides of an equation keeps the equation balanced.

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What is the Distributive Property of Equality?

Back

a(b + c) = ab + ac. This property states that multiplying a number by a sum is the same as doing each multiplication separately.

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What is the Segment Addition Postulate?

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If point B is between points A and C, then AB + BC = AC. This postulate states that the sum of the lengths of two segments is equal to the length of the whole segment.

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Provide an example of the Reflexive Property of Equality.

Back

Example: 7 = 7.

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Provide an example of the Symmetric Property of Equality.

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Example: If x = 10, then 10 = x.