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Evaluate biconditional statements
Worksheet
Grade Level
Geometry
GEO.30 Evaluate biconditional statements
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In a geometry proof, a student writes: "A transformation is a reflection if and only if it preserves distances." Which option correctly evaluates the biconditional and identifies the conditional and converse?
A
True; if the transformation is a reflection, then the transformation preserves distances; and if the transformation preserves distances, then the transformation is a reflection.
B
False; if the transformation is a reflection, then the transformation preserves distances; and if the transformation preserves distances, then the transformation is a reflection.
C
False; it lists only the conditional if the transformation is a reflection, then the transformation preserves distances, not the converse.
D
True; it lists only the converse if the transformation preserves distances, then the transformation is a reflection, not the conditional.
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