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Understanding Properties of Equality and Congruence: Key Concepts and Applications

This lesson focuses on properties of equality and congruence, including the Transitive, Symmetric, and Reflexive properties, as well as the Segment Addition Postulate. Students will learn to justify statements using these properties and draw conclusions based on given relationships among segments. Through practical example questions, learners will reinforce their understanding of how to apply these properties in various scenarios, thereby enhancing their problem-solving skills in geometry.

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Understanding Properties of Equality and Congruence: Key Concepts and Applications

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  1. Lesson 2-8 Lesson title 5 Minute Review

  2. Question 1 Justify the statement with a property of equality or a property of congruence. A. Transitive Property B. Symmetric Property C. Reflexive Property D. Segment Addition Postulate

  3. Question 2 Justify the statement with a property of equality or a property of congruence. A. Transitive Property B. Symmetric Property C. Reflexive Property D. Segment Addition Postulate

  4. Question 3 Justify the statement with a property of equality or a property of congruence. If H is between G and I, then GH + HI = GI. A. Transitive Property B. Symmetric Property C. Reflexive Property D. Segment Addition Postulate

  5. Question 4 State a conclusion that can be drawn from the statement given using the property indicated. W is between X and Z; Segment Addition Postulate. A. WX > WZ B. XW + WZ = XZ C. XW + XZ = WZ D. WZ – XZ = XW

  6. Question 5 ___ ___ LMNO and NO  PQ Transitive Property of Congruence State a conclusion that can be drawn from the statements given using the property indicated. ___ ___ A. B. C. D.

  7. Question 6 ___ Given B is the midpoint of AC, which of the following is true? A. AB + BC = AC B. AB + AC = BC C. AB = 2AC D. BC = 2AB

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