Question

Shannon is asked to draw a quadrilateral with the following specifications.

two opposite angles measure 51°
adjacent angles are supplementary
a side length of eight inches

Which of the following statements about this quadrilateral is true?
A. Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.

B. More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

D. More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.

Answer 1

C.Exactly one quadrilateral exists with the given conditions and it must be a rhombus.

Answer 2

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

Explanation:

Rectangular

Has 4 sides that are the same length

Has 4 angles of 90 degrees

Has 4 axes of rotation and folding symmetry

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