Geometry OWS 2A.1– Conditionals PDF
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This document contains examples and exercises on conditional statements, converses, and biconditionals in geometry. It includes worked examples of conditional statements and their converses, where students are asked to identify the hypothesis and conclusion.
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H: C: H: I’m not tired C: I can’t sleep H: You will C: I’ll try H: ∠ C: ∠ is a right angle...
H: C: H: I’m not tired C: I can’t sleep H: You will C: I’ll try H: ∠ C: ∠ is a right angle H: C: H: C: is between and if and only if . ∠ if and only if ∠ is a straight angle. If points are collinear, then they all lie in one line. If points all lie in one line, then they are collinear. If points lie in one plane, then they are coplanar. If points are coplanar, then they lie in one plane. (many possible answers) let and let let and A B G True Converse: If || , then . False False Converse: If , then . True True Converse: If , then . True True Converse: If ∠ is not obtuse, then ∠ . False True Converse: If Pam lives in Illinois, then she lives in Chicago. False True Converse: If ∠ ∠, then ∠ ≅ ∠. True True Converse: if . False True Converse: only if . False False Converse: only if . True True Converse: or implies that . True False Converse: If , then , , and , are collinear. True True Converse: ! " implies that " is the midpoint of !. False Two ∠s are congruent if and only if their measures are equal. An angle is a right angle if and only if its measure is 90. (therefore q) (therefore not r) (therefore s)
