exam Maths Puzzle Numerical Ability

Prove that an isometry f is a translation if and only if there exist lines l and m that share a common perpendicular such that f=pl o pm (First Translation Theorem).

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exam Other Question

Determine the algebraic rule for the line that:
contains (5,0) and is perpendicular to x=-1
One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5 inches long. What are the lengths of the unknown leg and hypotenuse?