Question

which answers describe the shape below? check all that apply. a. quadrilateral b. trapezoid c. parallelogram d. square e. rectangle f. rhombus

Explanation:

Step1: Recall quadrilateral definition

A quadrilateral is a four - sided polygon. The given shape has 4 sides, so it is a quadrilateral.

Step2: Recall trapezoid definition

A trapezoid has at least one pair of parallel sides. There is no indication of parallel sides from the side - length information given, but we cannot rule it out without more angle or parallel - line information.

Step3: Recall parallelogram definition

A parallelogram has two pairs of parallel sides. Since side lengths are unequal (5, 6, 7, 8), it cannot be a parallelogram.

Step4: Recall square definition

A square has 4 equal sides and 4 right angles. Side lengths are 5, 6, 7, 8, so it is not a square.

Step5: Recall rectangle definition

A rectangle has opposite sides equal and 4 right angles. Side lengths are not equal in pairs, so it is not a rectangle.

Step6: Recall rhombus definition

A rhombus has 4 equal sides. Side lengths are 5, 6, 7, 8, so it is not a rhombus.

Answer:

A. Quadrilateral