Question

write summarize the properties of the sides, angles, and diagonals of a parallelogram. in a parallelogram, the opposite sides and angles select choice congruent. two consecutive angles in a parallelogram are select choice . if a parallelogram is right, then select choice . the diagonals of a parallelogram select choice each other. need help?

Explanation:

Step1: Recall properties of parallelograms

• Sides and Angles: In a parallelogram, by definition, opposite sides are parallel and equal in length (congruent), and opposite angles are congruent. Consecutive angles in a parallelogram are supplementary (their sum is \(180^\circ\)) because consecutive angles are same - side interior angles formed by a transversal cutting two parallel lines.
• Diagonals: The diagonals of a parallelogram bisect each other. That is, the point of intersection of the diagonals divides each diagonal into two equal - length segments.

Step2: Fill in the blanks

• For the first blank (opposite sides and angles): In a parallelogram, the opposite sides and angles are congruent.
• For the second blank (consecutive angles): Two consecutive angles in a parallelogram are supplementary (or "add up to \(180^\circ\)").
• For the third blank (diagonals): The diagonals of a parallelogram bisect each other.

Answer:

• Opposite sides and angles: congruent
• Consecutive angles: supplementary (or "add up to \(180^\circ\)")
• Diagonals: bisect