Geometry

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?
A. Quadrilateral ABCD is a square.
B. Quadrilateral ABCD is a rhombus.
C. Quadrilateral ABCD is a rectangle.
D. Quadrilateral ABCD is an isosceles trapezoid.

My first pick is A but A is not the right answer. Correct answer is C. Could someone please explain to me I am confused. Thank you for your help.

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asked by Lauren
  1. a rectangle is a parallelogram with supplementary opposite angles (and congruent adjacent angles)

    a square is a rectangle with equal sides

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    posted by Scott
  2. in a parallelogram, adjacent angles are supplementary.

    If they are also congruent, they must be right angles.

    So, C is correct. You know nothing about the side lengths.

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    posted by Steve

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