Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion.

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Presentation transcript:

Chapter 2 Review

Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

If you are in Mrs. Buric’s Geometry class, then you love Math! 3 Hypothesis: you are in Mrs. Buric’s Geometry class Conclusion: you love Math

Converse A converse is a statement that switches the hypothesis and the conclusion. 4

Converse If you love Math, then you are in Mrs. Buric’s Geometry class! 5

Counterexamples An example that with given the hypothesis makes the conclusion false 6

Counterexample If you can fly, then you are a bird. 7 Insects

A biconditional is a statement where the conditional and the converse are both true! 8 “p if and only if q” (biconditional)

Example: Conditional: An angle is right if it measures 90 degrees. 9 Converse: An angle measures 90 degrees if it is a right angle. TRUE!

Complementary angles Add up to 90 degrees 10

Supplementary angles Add up to 180 degrees 11

Perpendicular Lines are two lines that intersect to form right angles (90 degrees).

Addition Property If a = b and c = d, then a + c = b + d 13

Subtraction Property If a = b and c = d, then a - c = b - d 14

Multiplication Property If a = b, then ac = bc 15

Division Property If a = b and c 0, then a/c = b/c 16

Substitution Property If a = b, Then either a or b may be substituted for the other in any equation or inequality 17

Reflexive Property a = a 18

Symmetric Property If a = b, Then b = a 19

Transitive Property If a = b and b =c, Then a = c 20

Distributive Property a(b + c) =ab +ac 21

Reflexive Property DE <D

Transitive Property If DE FG and FG JK then DE JK

Theorem If two lines are perpendicular, then they form congruent adjacent angles.

Theorem If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.

Theorem If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent.

Theorem If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent.

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