$\"\"$

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Find the distance of each length using distance formula.

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The distance formula is $\"\"$ .

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$\"\"$ (Write the distance formula)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify) $\"\"$ $\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Simplify)

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By the definition of congruence, $\"\"$ . The corresponding sides of the triangle are congruent and $\"\"$ So, $\"\"$ . $\"\"$

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The triangles are congrueent, $\"\"$ .

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The congruence transformation is flip or rotation.