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  1. 29 Ιουν 2024 · Which statement can be used to prove that a given parallelogram is a rectangle? The diagonals of the parallelograms are congruent. Parallelogram ABCD is a rectangle.

  2. 29 Ιουν 2024 · Study with Quizlet and memorize flashcards containing terms like Given:In quadrilateral WXYZ , WY and XZ bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. What is the missing statement in this proof?, In the diagram, quadrilateral LMNO is a parallelogram.

  3. 6 ημέρες πριν · Which characteristic guarantees that a parallelogram is a rectangle? All of the sides are congruent. The opposite sides are parallel. The diagonals are perpendicular bisectors. The diagonals are congruent.

  4. 10 Ιουν 2024 · A few of the important properties of a parallelogram are: Opposite sides of a parallelogram are equal in length and are parallel to each other. Opposite angles in a parallelogram are equal. The sum of all interior angles of a parallelogram is 360°. Consecutive angles of a parallelogram are supplementary (180°).

  5. 11 Ιουν 2024 · Expert Verified Solution. Answer by Yoko · Jun 11, 2024. 93% ( 629 rated) (a) x=12 x = 12, (b) x=4 x = 4. 1 For the rectangle, set the opposite sides of the parallelogram equal to each other since in a rectangle all angles are right angles. So, 9x + 20 = 10x + 8 9x+20 =10x+8.

  6. 3 ημέρες πριν · Property 1. Each of the interior angles of a rectangle is \( 90^\circ \). Since the opposite interior angles are equal, it immediately follows that all rectangles are parallelograms, whose properties apply to rectangles: Property 2. The diagonals of a rectangle bisect each other. Property 3. The opposite sides of a rectangle are parallel ...

  7. 3 ημέρες πριν · Hint: To prove that the angle bisector of a parallelogram form a rectangle we have to prove that the interior angle of the quadrilateral formed by the angle bisector are right angle. Then the quadrilateral will be a rectangle. Complete step-by-step answer: Suppose the diagram of the parallelogram is as the figure given below.

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