Question
Which TWO of the following shapes are trapezoids?
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 shape has one set of parallel sides and has two right angles.
B
A shape with four sides. The shape has one set of parallel sides and has two 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. The shape has one set of parallel sides and does not have right angles.
D
A shape with four sides. The shape has one set of parallel sides and does not have right angles.
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 shape has one set of parallel sides and has two right angles.
B
A shape with four sides. The shape has one set of parallel sides and has two 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. The shape has one set of parallel sides and does not have right angles.
D
A shape with four sides. The shape has one set of parallel sides and does not have right angles.
Answers
GPT-4o mini
In geometry, a trapezoid (or trapezium in some countries) is defined as a four-sided figure (quadrilateral) with at least one pair of parallel sides.
Now let's analyze each choice:
- **Choice A**: A shape with four sides of equal length and two sets of parallel sides. This describes a rhombus (which is a type of parallelogram) but not a trapezoid because it has two pairs of parallel sides, meeting the definition of a parallelogram rather than a trapezoid.
- **Choice B**: A shape with four sides and one set of parallel sides along with two right angles. This qualifies as a trapezoid since it has exactly one pair of parallel sides.
- **Choice C**: A shape with four sides of equal length and two sets of parallel sides. This, like choice A, is describing a rhombus and is not a trapezoid.
- **Choice D**: A shape with four sides and one set of parallel sides that does not have right angles. This qualifies as a trapezoid due to the presence of one pair of parallel sides.
Based on the analysis, the correct answers are:
**Choice B** and **Choice D**.
Now let's analyze each choice:
- **Choice A**: A shape with four sides of equal length and two sets of parallel sides. This describes a rhombus (which is a type of parallelogram) but not a trapezoid because it has two pairs of parallel sides, meeting the definition of a parallelogram rather than a trapezoid.
- **Choice B**: A shape with four sides and one set of parallel sides along with two right angles. This qualifies as a trapezoid since it has exactly one pair of parallel sides.
- **Choice C**: A shape with four sides of equal length and two sets of parallel sides. This, like choice A, is describing a rhombus and is not a trapezoid.
- **Choice D**: A shape with four sides and one set of parallel sides that does not have right angles. This qualifies as a trapezoid due to the presence of one pair of parallel sides.
Based on the analysis, the correct answers are:
**Choice B** and **Choice D**.