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Help me identify the properties of a parallelogram. Select all that apply:

Opposite sides are congruent
Consecutive angles are complementary
Opposite angles are congruent
Opposite sides are perpendicular
Consecutive angles are supplementary
Opposite sides are parallel
a) 1, 3, 6
b) 2, 4, 5
c) 1, 3, 5
d) 2, 4, 6

User SatyaTNV
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1 Answer

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Final answer:

The properties of a parallelogram include opposite sides being congruent, opposite angles being congruent, and consecutive angles being supplementary; thus, the correct answer is 'c) 1, 3, 5'.

Step-by-step explanation:

You're asking about the properties of a parallelogram. In a parallelogram, opposite sides are congruent (equal in length), opposite angles are congruent (equal in measure), and opposite sides are parallel. These properties ensure that both pairs of opposite sides are of equal length and opposite angles equal, which helps maintain the shape's parallelism. Consecutive angles in a parallelogram are supplementary (they add up to 180 degrees), not complementary (adding to 90 degrees). The sides of a parallelogram are not perpendicular; it's the rectangle that has perpendicular adjacent sides. Therefore, the correct answer is 'c) 1, 3, 5' – meaning opposite sides are congruent, opposite angles are congruent, and consecutive angles are supplementary.

User Cheliyan
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