What condition guarantees that the figure is a parallelogram?
Answer:Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
Based on definition, a figure guarantees a parallelogram if it is a four-sided polygon whose opposite sides are parallel. Furthermore, its opposite sides measure the same, the opposite angles are congruent, and the consecutive angles are supplementary.
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Question:
What condition guarantees that the figure is a parallelogram?
Answer:Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
Answer:
Based on definition, a figure guarantees a parallelogram if it is a four-sided polygon whose opposite sides are parallel. Furthermore, its opposite sides measure the same, the opposite angles are congruent, and the consecutive angles are supplementary.
Step-by-step explanation:
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