Question

try again
your answer is incorrect. two or more of the figures are incorrectly classified.
given the information marked on each figure below, select all classifications that must be true.
note that each figure is drawn like a rectangle, but you should not rely on the way the figure is drawn in determinir
if necessary, you may learn what the markings on a figure indicate.

Explanation:

Step1: Analyze the first figure

A quadrilateral with diagonals that bisect each other is a parallelogram. But for a rectangle, diagonals must be equal in length. Since there is no information about the length of diagonals being equal, the first figure is a quadrilateral and a parallelogram, but not necessarily a rectangle.

Step2: Analyze the second figure

A quadrilateral with four right angles is a rectangle. A rectangle is a special - case of a parallelogram (since opposite sides are parallel and equal). So the second figure is a quadrilateral, a parallelogram, and a rectangle.

Step3: Analyze the third figure

A quadrilateral with one right angle and one pair of parallel sides. If a parallelogram has one right angle, then all angles are right angles (because in a parallelogram, consecutive angles are supplementary and opposite angles are equal). So if \(WYXV\) is a parallelogram and \(\angle V = 90^{\circ}\), then \(WYXV\) is a rectangle. A rectangle is a type of parallelogram and a quadrilateral.

Answer:

• First figure: Quadrilateral, Parallelogram
• Second figure: Quadrilateral, Parallelogram, Rectangle
• Third figure: Quadrilateral, Parallelogram, Rectangle