Question

Which TWO of the following shapes are rectangles?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) A 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.

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

D
A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

Answers

GPT-4o mini
To determine which shapes are rectangles, we need to recall that a rectangle is defined as a quadrilateral (four-sided shape) with two sets of parallel sides and four right angles.

Let's analyze each choice:

- **Choice A**: A 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.
This is not a rectangle because it 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.
This is a rectangle because it has right angles and two sets of parallel sides.

- **Choice C**: A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
This is also a rectangle (in fact, it is a square, which is a special type of rectangle).

- **Choice D**: A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.
This is not a rectangle because it does not have right angles.

Based on this analysis, the two shapes that are rectangles are:

**Choice B** and **Choice C**.

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