pre-cal 30s december 18, 2008

12
What If? whatif tagged photos by flickr user psychofish

Upload: darren-kuropatwa

Post on 18-May-2015

784 views

Category:

Education


1 download

DESCRIPTION

Conditional statements, converse, inverse, and contrapositives.

TRANSCRIPT

Page 1: Pre-Cal 30S December 18, 2008

What If?

whatif tagged photos by flickr user psychofish

Page 2: Pre-Cal 30S December 18, 2008

ConditionalsA "conditional statement" is a statement that can be expressed in the form "if...then".

This is the part of the sentence that follows the word "then ... ."

This is the part of the sentence that follows the word "If.... ,"

Hypothesis:

Conclusion:

Page 3: Pre-Cal 30S December 18, 2008
Page 4: Pre-Cal 30S December 18, 2008

ConditionalsA "conditional statement" is a statement that can be expressed in the form "if...then".

Each angle of an equilateral triangle is 60°.Rewrite each of the following in conditional form.

Parallel lines do not intersect.

Inscribed angles in a circle subtended by the same arc are congruent.

If a triangle is an equilateral triangle then each angle must equal to 60°.

If each angle in a triangle is 60° then you have an equilateral triangle.Biconditonal

Page 5: Pre-Cal 30S December 18, 2008

ConditionalsA "conditional statement" is a statement that can be expressed in the form "if...then".

Rewrite each of the following in conditional form.

Parallel lines do not intersect.If two lines are parallel then the lines do not intersect.

Page 6: Pre-Cal 30S December 18, 2008

ConditionalsA "conditional statement" is a statement that can be expressed in the form "if...then".

Rewrite each of the following in conditional form.Inscribed angles in a circle subtended by the same arc are congruent.

If 2 or more inscribed angles in a circle are subtended by the same arc then they're all congruent.

Page 7: Pre-Cal 30S December 18, 2008

Related Conditionals: Converse, Inverse, Contrapositive

Page 8: Pre-Cal 30S December 18, 2008

Related Conditionals: Converse

Rewrite each of the following in converse form.If each angle in a triangle is 60° then you have an equilateral triangle.

If two lines are parallel then the lines do not intersect.

If 2 or more inscribed angles in a circle are subtended by the same arc then they're all congruent.

If you have an equilateral triangle then each angle is 60°.

If two lines do not intersect then the lines are parallel.

If 2 or more inscribed angles in a circle are congruent then they're subtended by the same arc.

Page 9: Pre-Cal 30S December 18, 2008

Related Conditionals: Converse, Inverse, Contrapositive

Page 10: Pre-Cal 30S December 18, 2008

Related Conditionals: Inverse

Rewrite each of the following in inverse form.

If each angle in a triangle is not 60° then you do not have an equilateral triangle.

If two lines are not parallel then the lines do intersect.

If 2 or more inscribed angles in a circle are not subtended by the same arc then they're not all congruent.

Page 11: Pre-Cal 30S December 18, 2008

Related Conditionals: Converse, Inverse, Contrapositive

Page 12: Pre-Cal 30S December 18, 2008

Related Conditionals: Contrapositive

Rewrite each of the following in contrapositive form.

http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=relcond

If you do not have an equilateral triangle then each angle is not 60°.

If two lines do intersect then the lines are not parallel.

If 2 or more inscribed angles in a circle are subtended by the same arc then they're all congruent.

DO THIS ONE FOR HOMEWORK