Question 1:
The answer is the second choice.
Parallelograms that are not rectangles do not have congruent diagonals; however, all rectangles do have congruent diagonals.
A rhombus has perpendicular diagonals but is not a rectangle, so the first choice is wrong
A rhombus has all congruent sides but is not a rectangle, so the third choice is wrong.
The last choice only applies to certain quadrilaterals, none of which are rectangles.
Question 2:
The first choice is the answer.
A rectangle has congruent diagonals, but is not a square. We can eliminate the second choice.
A rhombus has all congruent sides, but it is not a square.
The last choice only applies to certain quadrilaterals, none of which are squares.
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