Determine the equations of each line segment that makes-up each quadrilateral (61,62,63), then determine the equations for each line segment making each quadrilateral.

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Line segment RF ≅ Line segment HR

Step-by-step explanation:

Given , Quadrilateral RAUF ≅ Quadrilateral HBQR.

We know that, the corresponding sides and angles of congruent shapes are congruent.

Then , for sides :

RA ≅   HB   [First two letters]

AU ≅ BQ  [Middle two]

UF ≅QR  [last two letters]

RF ≅HR [First and last letters]     (*)

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according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: