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question 6
jakes friend suggests that lightning bolt b could work with the others because \it looks the same, just smaller.\ why would this create problems for jakes matching design?
only shapes with the same area can be used together
the shapes must be congruent to truly match, and different sizes means theyre not congruent
smaller shapes cannot be used in professional designs
lightning bolt b needs to be rotated to match the others
question 6
jake writes care instructions for his stickers:
\these lightning bolts are , meaning they all have the same size and the same shape.\
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Congruent shapes have the same size and shape. If lightning bolt B is smaller, it's not congruent. Rotation doesn't affect congruence. Area isn't the only factor (congruence requires same size and shape). The claim about smaller shapes in professional designs is unfounded.
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The shapes must be congruent to truly match, and different sizes means they're not congruent.