Grade 2 Geometry Worksheet on identifying parallelograms and their properties.

Problem Analysis:

The task involves analyzing each shape in the image and determining whether it meets the criteria for being a parallelogram. The criteria are:
1. Does it have 4 sides?
2. Are the opposite sides parallel?
3. Is it a parallelogram?

We need to evaluate each shape based on these criteria and mark "Yes" or "No" accordingly.

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Step-by-Step Solution:

#### Shape 1: Rectangle
- Does it have 4 sides?
Yes, it is a quadrilateral with 4 sides.
- Are the opposite sides parallel?
Yes, both pairs of opposite sides are parallel.
- Is it a parallelogram?
Yes, a rectangle is a type of parallelogram.

Answer:
- Does it have 4 sides? Yes
- Are the opposite sides parallel? Yes
- Is it a parallelogram? Yes

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#### Shape 2: Triangle
- Does it have 4 sides?
No, it has only 3 sides.
- Are the opposite sides parallel?
Not applicable since it does not have 4 sides.
- Is it a parallelogram?
No, a triangle cannot be a parallelogram.

Answer:
- Does it have 4 sides? No
- Are the opposite sides parallel? No
- Is it a parallelogram? No

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#### Shape 3: Rhombus
- Does it have 4 sides?
Yes, it is a quadrilateral with 4 sides.
- Are the opposite sides parallel?
Yes, both pairs of opposite sides are parallel.
- Is it a parallelogram?
Yes, a rhombus is a type of parallelogram.

Answer:
- Does it have 4 sides? Yes
- Are the opposite sides parallel? Yes
- Is it a parallelogram? Yes

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#### Shape 4: Trapezoid
- Does it have 4 sides?
Yes, it is a quadrilateral with 4 sides.
- Are the opposite sides parallel?
No, only one pair of opposite sides is parallel.
- Is it a parallelogram?
No, a trapezoid is not a parallelogram because both pairs of opposite sides must be parallel for it to be a parallelogram.

Answer:
- Does it have 4 sides? Yes
- Are the opposite sides parallel? No
- Is it a parallelogram? No

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#### Shape 5: Hexagon
- Does it have 4 sides?
No, it has 6 sides.
- Are the opposite sides parallel?
Not applicable since it does not have 4 sides.
- Is it a parallelogram?
No, a hexagon cannot be a parallelogram.

Answer:
- Does it have 4 sides? No
- Are the opposite sides parallel? No
- Is it a parallelogram? No

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Final Answers:

1. Rectangle:
- Does it have 4 sides? Yes
- Are the opposite sides parallel? Yes
- Is it a parallelogram? Yes

2. Triangle:
- Does it have 4 sides? No
- Are the opposite sides parallel? No
- Is it a parallelogram? No

3. Rhombus:
- Does it have 4 sides? Yes
- Are the opposite sides parallel? Yes
- Is it a parallelogram? Yes

4. Trapezoid:
- Does it have 4 sides? Yes
- Are the opposite sides parallel? No
- Is it a parallelogram? No

5. Hexagon:
- Does it have 4 sides? No
- Are the opposite sides parallel? No
- Is it a parallelogram? No

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Final Boxed Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Shape} & \text{Does it have 4 sides?} & \text{Are the opposite sides parallel?} & \text{Is it a parallelogram?} \\
\hline
\text{Rectangle} & \text{Yes} & \text{Yes} & \text{Yes} \\
\text{Triangle} & \text{No} & \text{No} & \text{No} \\
\text{Rhombus} & \text{Yes} & \text{Yes} & \text{Yes} \\
\text{Trapezoid} & \text{Yes} & \text{No} & \text{No} \\
\text{Hexagon} & \text{No} & \text{No} & \text{No} \\
\hline
\end{array}
}
\]