Which of the following statements is an illustration of the Transitive Property of Equality?
(1 point)
Responses
If m∠A = m∠B + m∠C, then m∠B = m∠A – m∠C
If m∠A = m∠B + m∠C , then m∠B = m∠A – m∠C
If m∠A + m∠B = m∠C, then m∠C = ∠A + m∠B
If m∠A + m∠B = m∠C , then m∠C = ∠A + m∠B
If m∠A = m∠B and m∠B = m∠C, then m∠A = m∠C
If m∠A = m∠B and m∠B = m∠C , then m∠A = m∠C
If m∠A = m∠B and m∠B = m∠A, the m∠A = m∠B
The Transitive Property of Equality states that if one quantity equals a second quantity and the second quantity equals a third quantity, then the first quantity equals the third quantity. Symbolically, it can be represented as:
If a = b and b = c, then a = c.
Based on this definition, the statement that illustrates the Transitive Property of Equality is:
If m∠A = m∠B and m∠B = m∠C, then m∠A = m∠C
This statement clearly reflects the principle that if angle A is equal to angle B, and angle B is equal to angle C, then angle A must also be equal to angle C.