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Question
question 5 of 10 which of these statements describe properties of that apply. a. opposite angles are congruent. b. consecutive angles are supplementary. c. adjacent sides are congruent. d. diagonals bisect each other. e. opposite sides are parallel. f. opposite angles are parallel.
Step1: Recall parallelogram properties
In a parallelogram, opposite angles are equal in measure (congruent).
Step2: Consider angle - side relationships
Consecutive angles in a parallelogram are supplementary (sum to 180°) because of the parallel - side property.
Step3: Analyze diagonal and side properties
The diagonals of a parallelogram bisect each other, and opposite sides are parallel. Adjacent sides are not necessarily congruent, and angles cannot be parallel (parallelism is a property of lines, not angles).
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A. Opposite angles are congruent.
B. Consecutive angles are supplementary.
D. Diagonals bisect each other.
E. Opposite sides are parallel.