Activity 1: Match Me Match the mathematical statement in Column A by drawing an arrow to the corresponding property of equality or congruence in Column B. You can match more than one mathematical statement to one property. Mathematical Statements Property of Equality or Congruence 1. MAB = MAB a. Addition Property of Equality 2. ABZAB b. Subtraction Property of Equality 3. If AB CD, then AB + EF = CD + EF c. Transitive Property d. Substitution Property 4. If AB =CD, then AB - EF 2 CD - EF e. Symmetric Property 5. If LAB and B2C then ZAELC f. Reflexive Property 6. If m_A = m_B and m B = m_C then mzA=mZC - 7. If mAB = mDC + EF and mEF=mMN then MAB = mDC + mMN

Answer: This equation demonstrates Reflexive Property. Reflexive Property states that a certain quantity is always equal to itself. So in this scenario, the angle MAB is equal to itself.

If AB = CD, then AB + EF = CD + EF.

Answer: This condition demonstrates Addition Property of Equality. It states that whatever is added to one side of the equation should also be added to the other side of the equation to keep it the same.

If AB = CD, then AB - EF = CD - EF

Answer: This condition demonstrates Subtraction Property of Equality. It states that whatever is subtracted to one side of the equation should also be subtracted to the other side of the equation to keep it the same.

If m∠A = m∠B and m∠B = m∠C, then m∠A=m∠C.

Answer: This statement demonstrates Transitive Property of Equality.

If mAB = mDC + mEF and mEF = mMN, then mAB = mDC + mMN.

Answer: This statement demonstrates Substitution Property. Substitution Property states that a quantity is equal to another certain quantity, then, the latter can substitute the former in any equation. For example, if x = y, then the value of x can be substituted by y in any equation.

Learn more the properties of congruence:

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