Are my geometry answers correct? Please help, I'd like to make sure before I hand this in.
Name the property of equality each statement illustrates.
1.) If m∠2=m∠3 and m∠3=m∠1, then m∠2=m∠1.
My answer:Transitive Property
2.) AC=AB+BC, then AB+BC=AC.
My answer: Symmetric Property
3.) m∠ABC=m∠ABC
My answer: Reflexive Property
1. Correct
2. Correct
3. Correct!!!
You aced it!!
To verify if your geometry answers are correct, let's go through each statement:
1.) If m∠2 = m∠3 and m∠3 = m∠1, then m∠2 = m∠1.
Your answer: Transitive Property
Your answer is correct. The Transitive Property of Equality states that if two quantities are equal to the same quantity, then they are equal to each other as well. In this case, m∠2 is equal to m∠3, and m∠3 is equal to m∠1, so it follows that m∠2 is equal to m∠1.
2.) AC = AB + BC, then AB + BC = AC.
Your answer: Symmetric Property
Your answer is incorrect. The Symmetric Property of Equality states that if a = b, then b = a. However, in this case, we have an equation rather than an equality. To properly answer this question, you would need to identify this as the Addition Property of Equality. According to the Addition Property of Equality, if you add the same quantity to both sides of an equation, the two sides remain equal. In this case, AC is equal to AB + BC, and by adding AB and BC to both sides of the equation, you get AB + BC = AC.
3.) m∠ABC = m∠ABC.
Your answer: Reflexive Property
Your answer is correct. The Reflexive Property of Equality states that any quantity is always equal to itself. In this case, m∠ABC is equal to m∠ABC, which demonstrates the Reflexive Property of Equality.
In summary:
1.) The correct answer is the Transitive Property.
2.) The correct answer is the Addition Property of Equality.
3.) The correct answer is the Reflexive Property of Equality.