Answer key for a quadrilateral identification worksheet.

Problem Analysis:

The task involves solving a series of questions related to quadrilaterals. Let's go through each question step by step and provide detailed explanations.

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Question 1: True or False?

Statement: "It has 2 sets of parallel sides."

- Explanation: A quadrilateral with two sets of parallel sides is defined as a parallelogram. However, the image does not specify which quadrilateral we are referring to. If the quadrilateral in question is a general one (e.g., a trapezoid), it may not have two sets of parallel sides. Since the answer is marked as false, it implies that the quadrilateral being referred to does not have two sets of parallel sides.

- Solution: The answer is False because the quadrilateral in question does not have two sets of parallel sides.

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Question 2: All of these polygons fit under which subgroup of quadrilaterals?

- Explanation: The image shows three polygons: a rectangle, a square, and a rhombus. All three of these shapes are special types of parallelograms because they have two sets of parallel sides.
- A rectangle has opposite sides parallel and all angles equal to 90°.
- A square has all sides equal and all angles equal to 90°.
- A rhombus has all sides equal but angles may not be 90°.
- Since all three shapes have two sets of parallel sides, they belong to the subgroup of parallelograms.

- Solution: The answer is parallelogram.

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Question 3: Circle the polygons that are NOT quadrilaterals.

- Explanation: The image shows several shapes, and we need to identify which ones are not quadrilaterals. A quadrilateral is a polygon with four sides.
- The shapes in the image include:
1. A triangle (3 sides).
2. A pentagon (5 sides).
3. A quadrilateral (4 sides).
4. Another quadrilateral (4 sides).
5. A quadrilateral (4 sides).
6. A quadrilateral (4 sides).
- The triangle (3 sides) and the pentagon (5 sides) are not quadrilaterals.

- Solution: Circle the triangle and the pentagon.

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Question 4: Name this quadrilateral and list its attributes.

- Explanation: The image shows a quadrilateral with the following properties:
- Opposite sides are parallel.
- All sides are equal.
- All angles are equal (90°).

Based on these attributes:
- Having opposite sides parallel makes it a parallelogram.
- Having all sides equal makes it a rhombus.
- Having all angles equal to 90° makes it a square.

Therefore, this quadrilateral is a square.

- Solution: The quadrilateral is a square. Its attributes are:
- Opposite sides are parallel.
- All sides are equal.
- All angles are 90°.

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Question 5: Tell one way a square and a rectangle are different.

- Explanation: Both squares and rectangles are quadrilaterals with specific properties:
- A rectangle has opposite sides parallel, all angles equal to 90°, and opposite sides equal.
- A square has all the properties of a rectangle plus all sides equal.
- The key difference is that a square has all sides equal, while a rectangle only has opposite sides equal.

- Solution: One way a square and a rectangle are different is that a rectangle does not have to have four equal sides, whereas a square does.

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Question 6: Circle the polygon that is not a quadrilateral.

- Explanation: The image shows several polygons, and we need to identify which one is not a quadrilateral. A quadrilateral is a polygon with four sides.
- The shapes in the image include:
1. A triangle (3 sides).
2. A quadrilateral (4 sides).
3. Another quadrilateral (4 sides).
4. A quadrilateral (4 sides).
5. A quadrilateral (4 sides).
- The triangle (3 sides) is not a quadrilateral.

- Solution: Circle the triangle.

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Final Answer:

\[
\boxed{
\text{1. False, 2. Parallelogram, 3. Circle the triangle and pentagon, 4. Square, 5. A rectangle does not have to have four equal sides, 6. Circle the triangle.}
}
\]