Question

Part 1: Explain, using complete sentences, the Transitive Property of Equality in geometric terms.

Part 2: Provide an example of the Transitive Property of Equality using segments or angles.

Answer 1

Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.

Mathematically, the transitive property can be written as follows;

When X = Y, and Y = Z, then also X = Z

Part 2: The transitive property of equality can be represented using angles as follows

Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.

Explanation: