chapter 2 review. conditional statements have a if and a then. 2 hypothesis conclusion

Chapter 2 Review

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Chapter 2 Review

Conditional statements have a IF and a THEN.

Hypothesis Conclusion

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

Hypothesis: you are in Mrs. Buric’s Geometry class

Conclusion: you love Math

Page 4: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

ConverseA converse is a statement that

switches the hypothesis and the conclusion.

Page 5: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Converse

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

Page 6: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

CounterexamplesAn example that with given the

hypothesis makes the conclusion false

Page 7: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Counterexample

If you can fly, then you are a bird.

Insects

Page 8: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

A biconditional is a statement where the conditional and the converse are both true!

“p if and only if q” (biconditional)

Page 9: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Example: Conditional: An angle is right if it

measures 90 degrees.

Converse: An angle measures 90 degrees if it is a right angle.

TRUE!

Page 10: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Complementary angles

• Add up to 90 degrees

Page 11: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Supplementary angles

• Add up to 180 degrees

Page 12: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

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

Page 13: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Addition Property

If a = b and c = d, then a + c = b + d

Page 14: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Subtraction Property

If a = b and c = d, then a - c = b - d

Page 15: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Multiplication Property

If a = b, then ac = bc

Page 16: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Division Property

If a = b and c 0, then a/c = b/c

€

≠

Page 17: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Substitution PropertyIf a = b,

Then either a or b may be substituted for the other

in any equation or inequality

Page 18: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Reflexive Property

a = a

Page 19: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Symmetric Property

If a = b, Then b = a

Page 20: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Transitive Property

If a = b and b =c, Then a = c

Page 21: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Distributive Property

a(b + c) =ab +ac

Page 22: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Reflexive Property DE DE<D <D

€

≅

€

≅

Page 23: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Transitive Property If DE FG and FG JK

then DE JK

€

≅

€

≅

€

≅

Page 24: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Theorem

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

Page 25: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Theorem

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

Page 26: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Theorem

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

Page 27: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Theorem

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

Page 28: Chapter 2 Review. Conditional statements have a IF and a THEN. 2 Hypothesis Conclusion

Homework

Pg 626 1-11 ALL

PG 6271-11 ALL

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