Which TWO of the following shapes are rectangles?

Question

Choose all answers that apply:
Choose all answers that apply:
(Choice A) A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

A
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
(Choice B) A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.

B
A shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and has four right angles.
(Choice C) A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.

C
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
(Choice D) An open shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and does not have right angles.

D
An open shape with four sides. The adjacent sides are of unequal length. The shape has two sets of parallel sides and does not have right angles.

Answer 1

To determine which shapes are rectangles, we need to remember that a rectangle is defined as a quadrilateral (four-sided shape) with four right angles (90 degrees).

Now let's analyze the choices:

• Choice A: A shape with four sides of equal length, two sets of parallel sides, and does not have right angles. This describes a rhombus, not a rectangle. Not a rectangle.

• Choice B: A shape with four sides, adjacent sides of unequal length, two sets of parallel sides, and has four right angles. This is the definition of a rectangle. Is a rectangle.

• Choice C: A shape with four sides of equal length, two sets of parallel sides, and has four right angles. This describes a square, which is also a rectangle. Is a rectangle.

• Choice D: An open shape with four sides, adjacent sides of unequal length, two sets of parallel sides, and does not have right angles. This shape does not have right angles and is not a closed figure. Not a rectangle.

Therefore, the two shapes that are rectangles are:

B and C.