Question

which quadrilateral is a trapezoid?

Explanation:

Define a trapezoid

Using the Trapezoid Properties knowledge point
A trapezoid is defined as a quadrilateral with at least one pair of parallel sides.

Analyze the first quadrilateral ABCD

Using the Quadrilateral Classification and Trapezoid Properties knowledge points

• Sides \(AB\) and \(CD\) have matching arrow markings, indicating \(AB \parallel CD\).
• Since it has at least one pair of parallel sides, quadrilateral \(ABCD\) is a trapezoid.

Analyze the second quadrilateral EFGH

Using the Quadrilateral Classification knowledge point

• The markings show congruent opposite sides \(EF \cong GH\) and non-congruent base angles.
• There are no parallel markings, so \(EFGH\) is not guaranteed to be a trapezoid.

Analyze the third quadrilateral JKLM

Using the Quadrilateral Classification knowledge point

• The markings show two pairs of parallel sides: \(JK \parallel ML\) and \(KL \parallel JM\).
• This defines a parallelogram, which is a specific type of trapezoid under the inclusive definition, but \(ABCD\) is the primary, standard trapezoid shown with exactly one pair of parallel sides highlighted.

Answer:

• (A) Quadrilateral ABCD (Correct answer)
• (B) Quadrilateral EFGH
• (C) Quadrilateral JKLM