Question

four figures are shown. which statement about the figures is true? each figure has at least one right angle. each figure has four vertices. each figure has four sides of equal length. each figure has opposite sides parallel.

Explanation:

Step1: Analyze right - angle condition

Check if each figure has a right - angle. The first figure (a non - rectangular quadrilateral) and the fourth figure (a parallelogram) do not have right angles, so the statement "Each figure has at least one right angle" is false.

Step2: Analyze vertex condition

The first figure (a non - rectangular quadrilateral) has 4 vertices, the second figure (a trapezoid) has 4 vertices, the third figure (a rectangle) has 4 vertices, and the fourth figure (a parallelogram) has 4 vertices. But we need to check other conditions too.

Step3: Analyze side - length condition

The second figure (a trapezoid) and the first figure (a non - regular quadrilateral) do not have four sides of equal length, so the statement "Each figure has four sides of equal length" is false.

Step4: Analyze parallel - side condition

The first figure is a parallelogram - like shape (opposite sides parallel), the second figure is a trapezoid (one pair of opposite sides parallel), the third figure is a rectangle (opposite sides parallel), and the fourth figure is a parallelogram (opposite sides parallel). So the statement "Each figure has opposite sides parallel" is true.

Answer:

Each figure has opposite sides parallel.