Question

for each figure, decide which category or categories describe it. choose all categories that apply.
quadrilateral parallelogram rectangle

Explanation:

Step1: Analyze the first figure (orange rectangle)

A quadrilateral is a 4 - sided polygon. A parallelogram has opposite sides parallel and equal. A rectangle is a parallelogram with 4 right angles. The orange figure has 4 sides (quadrilateral), opposite sides parallel and equal (parallelogram), and 4 right angles (rectangle). So we check Quadrilateral, Parallelogram, Rectangle.

Step2: Analyze the second figure (blue rhombus)

A rhombus has 4 sides (quadrilateral), opposite sides parallel (parallelogram), but its angles are not right angles (so not a rectangle). So we check Quadrilateral, Parallelogram.

Step3: Analyze the third figure (gray trapezoid)

A trapezoid has 4 sides (quadrilateral), but only one pair of opposite sides is parallel (not a parallelogram, since parallelogram needs two pairs of parallel sides), and it has no right angles (not a rectangle). So we check Quadrilateral.

Answer:

• First figure (orange): Quadrilateral (checked), Parallelogram (checked), Rectangle (checked)
• Second figure (blue): Quadrilateral (checked), Parallelogram (checked), Rectangle (un - checked)
• Third figure (gray): Quadrilateral (checked), Parallelogram (un - checked), Rectangle (un - checked)

(In the table, for each figure, mark the appropriate checkboxes as per the above analysis)