Question

question
fill in the sentence below with the description that most specifically applies to the quadrilateral below.

the quadrilateral is most specifically a
, because
answer attempt 1 out of 2

Explanation:

Step1: Recall the properties of quadrilaterals

A trapezoid is a quadrilateral with at least one pair of parallel sides. A rectangle is a quadrilateral with four right angles. A parallelogram is a quadrilateral with two pairs of parallel sides. A rhombus is a parallelogram with all sides equal. A square is a parallelogram with all sides equal and four right angles.

Step2: Analyze the given quadrilateral

The sum of the interior angles of a quadrilateral is \(360^{\circ}\). Given angles \(90^{\circ},90^{\circ},90^{\circ},90^{\circ}\) (wait, no, sum of angles: \(90 + 90+90 + 90=360\) but wait, no, original angles: one angle is \(90^{\circ}\), another \(90^{\circ}\), another \(90^{\circ}\), and the fourth is \(90^{\circ}\) (wait no, wait the sum of angles of a quadrilateral is \((4 - 2)\times180=360^{\circ}\). But in the figure, if three angles are \(90^{\circ}\), then the fourth angle \(x=360-(90 + 90+90)=90^{\circ}\). Also, we have two pairs of equal - length sides (\(v\) and \(q\)).

A rectangle has four right angles. A parallelogram has opposite sides equal and parallel. Since we have four right angles and two pairs of equal sides (opposite sides equal), it satisfies the properties of a rectangle.

Answer:

The quadrilateral is most specifically a rectangle, because it has four right angles.