Question

using the given information below, which test for parallelograms proves that abcd is a parallelogram?
(image of a quadrilateral abcd with arrows indicating parallel sides)

• opposite angles are congruent
• opposite sides are parallel
• one pair of opposite sides is parallel and congruent
• opposite sides are congruent

question 4
using the given information below...

Explanation:

In the diagram, sides \( AB \) and \( CD \) have the same number of arrows (indicating parallelism), and sides \( AD \) and \( BC \) also have arrows (but let's focus on the double - arrowed sides first). The marks on \( AB \) and \( CD \) show they are parallel, and the marks on \( AD \) and \( BC \) (single arrows) also suggest parallelism. But looking at the options, the "Opposite sides are parallel" test: a quadrilateral with both pairs of opposite sides parallel is a parallelogram. The diagram shows \( AB \parallel CD \) (double arrows) and \( AD \parallel BC \) (single arrows), so the test that applies is "Opposite sides are parallel".

Answer:

B. Opposite sides are parallel (assuming the second option is labeled as B, if the options are labeled as A, B, C, D with A: Opposite angles are congruent, B: Opposite sides are parallel, C: One pair of opposite sides is parallel and congruent, D: Opposite sides are congruent)