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Educational worksheet illustrating properties of different shapes like triangles, squares, and parallelograms.

Properties of Shapes worksheet showing various geometric figures with their definitions and examples.

Properties of Shapes worksheet showing various geometric figures with their definitions and examples.

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Show Answer Key & Explanations Step-by-step solution for: Properties of Shapes | 5th Grade Geometry Worksheets
It looks like you've uploaded an image of a worksheet titled "Properties of Shapes", which is designed to help students identify and match the correct properties to different geometric shapes.

Here's a breakdown of how to solve this worksheet, along with explanations:

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🔷 Instructions:


> "Copy these shapes onto a bit of paper. Check the box if the property applies to that shape."

We are given six shapes:
1. Rectangle
2. Square
3. Parallelogram
4. Isosceles Triangle
5. Rhombus
6. Scalene Triangle

For each shape, we have a list of properties (e.g., "all sides equal", "opposite angles are equal", etc.), and we need to check which ones apply.

Let’s go through each shape one by one and determine which properties are true.

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1. Rectangle


- All angles = 90° YES
(Definition of a rectangle)
- Opposite sides equal YES
(Opposite sides are equal in length)
- All sides equal NO
(Only squares have all sides equal)
- Opposite angles equal YES
(All angles are 90°, so opposite angles are equal)

Final checks: All angles = 90°, Opposite sides equal, Opposite angles equal

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2. Square


- All angles = 90° YES
- All sides equal YES
(This is what makes it a square)
- Opposite sides equal YES
(True for all rectangles, including squares)
- Opposite angles equal YES
(All angles are 90°)

All four boxes should be checked for a square.

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3. Parallelogram


- Opposite sides equal YES
(Definition of a parallelogram)
- Opposite angles equal YES
(Another key property)
- All sides equal NO
(Not necessarily — only rhombuses or squares have this)
- All angles = 90° NO
(Only rectangles and squares do)

Checks: Opposite sides equal, Opposite angles equal

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4. Isosceles Triangle


- Two sides same length YES
(By definition: two equal sides)
- Two angles equal YES
(Base angles are equal)
- All sides equal NO
(That would be equilateral)
- All angles = 90° NO
(Only possible in a right triangle, not always)

Checks: Two sides same length, Two angles equal

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5. Rhombus


- All sides equal YES
(Definition of a rhombus)
- Opposite sides parallel YES
(Yes, it’s a parallelogram)
- All angles = 90° NO
(Only if it’s a square)
- Opposite angles equal YES
(Like all parallelograms)

Checks: All sides equal, Opposite sides parallel, Opposite angles equal

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6. Scalene Triangle


- All sides equal NO
(By definition, no sides are equal)
- All angles equal NO
(Only equilateral triangles have this)
- Two sides same length NO
(Again, scalene means all sides differ)
- Two angles equal NO
(No equal sides → no equal angles)

No boxes should be checked for a scalene triangle.

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📝 Summary Table:



| Shape | All Angles = 90° | All Sides Equal | Opposite Sides Equal | Opposite Angles Equal | Two Sides Same Length | Two Angles Equal |
|----------------|------------------|------------------|------------------------|------------------------|------------------------|-------------------|
| Rectangle | | | | | | |
| Square | | | | | | |
| Parallelogram | | | | | | |
| Isosceles Tri. | | | | | | |
| Rhombus | | | | | | |
| Scalene Tri. | | | | | | |

> ⚠️ Note: The "two sides same length" and "two angles equal" are only applicable to isosceles and rhombus, but not listed under those columns in the original table. However, based on the layout, the Isosceles Triangle has its own specific properties.

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How to Use This Worksheet:


1. Copy the shapes onto paper.
2. For each shape, read the properties and check the boxes that apply.
3. Use the table above as a guide.

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💡 Tips:


- Remember: A square is a special type of rectangle and rhombus.
- Rhombus ≠ Square: Rhombus has all sides equal, but angles aren't necessarily 90°.
- Scalene triangle has no equal sides or angles.

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