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

Chapter 2 Review

Conditional statements have a IF and a THEN.

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Hypothesis Conclusion

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

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

Conclusion: you love Math

ConverseA converse is a statement that

switches the hypothesis and the conclusion.

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Converse

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

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CounterexamplesAn example that with given the

hypothesis makes the conclusion false

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Counterexample

If you can fly, then you are a bird.

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Insects

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

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“p if and only if q” (biconditional)

Example: Conditional: An angle is right if it

measures 90 degrees.

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

TRUE!

TRUE!

Complementary angles

• Add up to 90 degrees

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Supplementary angles

• Add up to 180 degrees

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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

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Subtraction Property

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

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Multiplication Property

If a = b, then ac = bc

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Division Property

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

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≠

Substitution PropertyIf a = b,

Then either a or b may be substituted for the other

in any equation or inequality

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Reflexive Property

a = a

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Symmetric Property

If a = b, Then b = a

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Transitive Property

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

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Distributive Property

a(b + c) =ab +ac

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Reflexive Property DE DE<D <D

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≅

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≅

Transitive Property If DE FG and FG JK

then DE JK

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≅

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≅

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≅

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.

Homework

Pg 626 1-11 ALL

PG 6271-11 ALL