Geometry: Properties of Parallelograms
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Questions and Answers

What can be concluded about the angles of a parallelogram based on the exploration?

  • All angles measure 90°.
  • Opposite angles are supplementary.
  • Opposite angles are the same. (correct)
  • Consecutive angles are equal.

    • What do the diagonals of a parallelogram do?

  • They are always equal in length.
  • They never intersect.
  • They create right angles.
  • They bisect each other. (correct)

    • What is a property of the sides of a parallelogram?

  • Opposite sides are congruent. (correct)
  • All sides are equal.
  • Adjacent sides are equal.
  • All sides are parallel.

    • Which angle measures were observed in the parallelogram?

    <p>Two angles measure 68.2° and two measure 111.8°.</p> Signup and view all the answers

    What is true regarding the lengths of the sides of the parallelogram?

    <p>Adjacent sides can have different lengths.</p> Signup and view all the answers

    What defines a polygon?

    <p>A two-dimensional closed figure with sides that are segments.</p> Signup and view all the answers

    What is true about equilateral polygons?

    <p>All sides are congruent.</p> Signup and view all the answers

    What does the Triangle Exterior Angle Theorem state?

    <p>The exterior angle equals the sum of its two remote interior angles.</p> Signup and view all the answers

    Which of the following correctly describes an exterior angle of a polygon?

    <p>An angle on the outside of a polygon that forms a linear pair with an interior angle.</p> Signup and view all the answers

    Which statement about regular polygons is true?

    <p>They have all sides and all angles congruent.</p> Signup and view all the answers

    What is one method to prove that a quadrilateral is a parallelogram?

    <p>Show that both pairs of opposite sides are congruent.</p> Signup and view all the answers

    Which of the following pairs of slopes correctly demonstrates that two sides are parallel?

    <p>Both sides have a slope of $ rac{2}{3}$.</p> Signup and view all the answers

    If two pairs of opposite angles in a quadrilateral are congruent, what can be concluded?

    <p>It is a parallelogram.</p> Signup and view all the answers

    Which statement best describes the relationship necessary for diagonals to prove a quadrilateral is a parallelogram?

    <p>The diagonals must bisect each other.</p> Signup and view all the answers

    To determine if quadrilateral STUV is a parallelogram using the first method, what key condition was met?

    <p>Both pairs of opposite sides are parallel.</p> Signup and view all the answers

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