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Which of the following statements are correct?

A. If one interior angle of a parallelogram is a right angle, then the parallelogram must be a rectangle.

 

B. If two diagonals of a rectangle are perpendicular, then the rectangle must be a square.

 

C. If two diagonals of a rhombus are equal, then the rhombus must be a square.

 

D. If one interior angle of a rhombus is a right angle, then the rhombus must be a square.

 

E. If two diagonals of a parallelogram are equal, then the parallelogram must be a rectangle. Enter all correct options as a list of letters, separated by commas.

 Mar 24, 2020
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A: If one angle in a parallelogram is 90 degrees, that means the rest have to be 90 degrees. Therefore, this is TRUE.

B: A rectangle already has perpendicular sides, and a rectangle can't be a square. Therefore, this is FALSE.

C. A rhombus is a square. This is TRUE.

D. A rhombus is a square. This is TRUE.

E. The sides of a parallelogram are different, as well as a rectangle. This is FALSE.

 

The answer is A, C, and D.

 Mar 24, 2020

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