2.5; 8-26 Even 8. Hypothesis: the measure of and angle is 60 Conclusion: the angle is acute 10. If a bird is an eagle, then it east fish. 12. If two angles.

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2.5; 8-26 Even 8. Hypothesis: the measure of and angle is 60 Conclusion: the angle is acute 10. If a bird is an eagle, then it east fish. 12. If two angles form a linear pair, then they are supplementary. 14. The intersection of the planes is a line. 16. Argument 1 is correct. Why? 18. If the stereo is on, then the neighbors will complain. 20. If you want a great selection of used cars, then you should come and see Bargain Bob’s Used Cars. 22. Must not 24. If you tell the truth, then you don’t have to remember anything. 26. If one is lucky, then a solitary fantasy can totally transform one million realities.

2.6 Properties of Equality and Congruence Goal: Use Properties of Equality and Congruence.

Properties of Equality and Congruence Reflexive Property Equality Congruence

Properties of Equality and Congruence Symmetric Property Equality If , then If , then Congruence If , then If , then

Properties of Equality and Congruence Transitive Property Equality If and , then If and , then Congruence If and , then If and , then

Name Properties of Equality and Congruence Name the property that the statement illustrates. Symmetric Property of Congruence Reflexive Property of Equality Transitive Property of Congruence

Use Properties of Equality M N P Q MN = NP Definition of midpoint NP = PQ Definition of midpoint MN = PQ Transitive Property of Equality

Properties of Equality Addition Property Adding the same number to each side of an equation produces an equivalent equation. x – 3 = 7 x – 3 + 3 = 7 + 3 Subtraction Property Subtracting the same number from each side of an equation produces an equivalent equation. y +5 = 11 y + 5 - 5 =11 - 5

Properties of Equality Multiplication Property Multiplying the same number to each side of an equation produces an equivalent equation. Division Property Dividing each side of an equation by the same number produces an equivalent equation. 8x = 16 8x/8 = 16/8

Properties of Equality Substitution Property Substituting a number for a variable in an equation produces an equivalent equation. x = 7 2x + 4 =2(7) + 4

Justify the Congruent Supplements Theorem 1 2 3 Definition of Supplementary angles Substitution Property of Equality Subtraction Property of Equality Definition of congruent angles

Homework 2.6 pg. 91 10-20 All