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) PR ? SQ
(b) ?STP ? ?QTR
(c) ?STP ? 90°
(d) ?QPT ? ?SRT
(a) True for square (which is a rhombus), but not for non-square rectangle. Diagonals are
perpendicular in a rhombus.
(b) True; vertical angles
(c) True for square (which is a rhombus), but not for non-square rectangle. Diagonals are
perpendicular in a rhombus so this angle is 90°.
(d) True for square; diagonals bisect vertex angles.
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