Lesson 2-2: Conditional Logic Summary Original “If …, then …” Conditional Statement Inverse Statement Converse Statement Contrapositive Statement Biconditional.

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Presentation transcript:

Lesson 2-2: Conditional Logic Summary Original “If …, then …” Conditional Statement Inverse Statement Converse Statement Contrapositive Statement Biconditional Statement Only if BOTH are true! “Negate” “Switch” If the sun is shining, then the weather is warm. If the sun is not shining, then the weather is not warm. then the sun is shining. If the weather is warm, then the sun is not shining. If the weather is not warm, the sun is shining. The weather is warm if and only if This one is ALWAYS true! “Negate AND Switch”

If …, then … “2 angles form a linear pair” hypothesis“If” conclusion“then” “the angles are supplementary” negate not If 2 angles do not form a linear pair, hypothesisconclusion reword If 2 angles are supplementary, Negateswitch hypothesis conclusion If 2 angles are NOT supplementary, then the angles do NOT form a linear pair. originalconverse both true Two angles form a linear pair if and only if the angles are supplementary. Note, the converse is NOT always true! then the angles are not supplementary. then the angles form a linear pair.

Two angles are congruent. The angle measures are equal. then their measures are NOT equal. If two angles are NOT congruent, If two angles have equal measures, then they are congruent. If two  ’s do NOT have = measures, then they are NOT congruent. Two angles are congruent if and only if their measures are equal. conditional today is Wednesday at SMHS, today is a block day. a shape is a three-sided polygon, a shape is a triangle. A shape is a quadrilateral, then a shape is a four-sided polygon. If a student gets an A, then a student passed Geometry. If a student plays soccer, then a student is an athlete.