Question

Problem 6B
Which TWO of the following shapes are squares?
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 has four right angles.

A
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 B) A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.

B
A shape with four sides of equal 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 does not have right angles.

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

D
A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.

Answers

Answered by GPT-4o mini
To determine which shapes are squares, we need to consider the properties of a square:

1. A square has four equal sides.
2. A square has four right angles (90 degrees).
3. A square has two sets of parallel sides.

Now let's analyze the choices:

- **Choice A**: 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, not a square, because the sides are not of equal length.

- **Choice B**: A shape with four sides of equal length. The shape has two sets of parallel sides and has four right angles.
- This is a square, as it meets all the criteria.

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

- **Choice D**: 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 square, as it meets all the criteria.

Thus, the answers that apply are:

- **Choice B**
- **Choice D**
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