Determine if each statement is true if

(i) PQRS is a rectangle

(ii) PQRS is a square

In each case, if true, explain why.



(a) PQ = SR

(b) PT =TR

(c) ST = RT

(d) PS = ST


(a) True for both rectangles and squares; opposite sides are congruent.
(b) True for all parallelograms, so true for both rectangles and squares; diagonals bisect each other.
(c) True for squares, diagonals are the same length, so are of the diagonal.
(d) False

Mathematics

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