Question

Classify the quadrilateral whose vertices are: A(3, 2); B(0,5);

C(-3, 2); D(0, -1). Select all that apply.
A) square
B) rhombus
C) trapezoid
D) parallelogram
E) rectangle
F) none of these

Answer 1

select answers: A), B), C), D), and E)

Explanation:

Please see attached image with the figure obtained by joining the given points.

Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:

rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.

Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)

Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.

Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.

Therefore you need to select answers: A), B), C), D), and E)