Question

classify the special quadrilateral as specifically as possible. explain your reasoning.
image of a parallelogram with a 56° angle and tick marks on all four sides

• parallelogram; there are two pairs of parallel sides.
• rhombus; there are four congruent sides.
• square; there are four congruent sides.
• rectangle; there are two pairs of opposite congruent sides.

Explanation:

1. Analyze the markings: The quadrilateral has four congruent sides (marked with tick marks on all four sides).
2. Analyze the angle: One angle is \(56^\circ\), so it is not a square (which requires right angles) or a rectangle (which also requires right angles).
3. A rhombus is defined as a quadrilateral with four congruent sides. Since the figure has four congruent sides and a non - right angle, it fits the definition of a rhombus. The first option (parallelogram) is too general as a rhombus is a type of parallelogram, but we can be more specific. The square and rectangle options are incorrect because of the non - right angle.

Answer:

B. rhombus; There are four congruent sides.