Let's solve this step by step. The task is to
identify the correct type of quadrilateral for each shape shown on the left. We'll go row by row and analyze the properties of each shape.
---
🔷 Definitions:
-
Rectangle: A quadrilateral with
four right angles and
opposite sides equal.
-
Rhombus: A quadrilateral with
all four sides equal, but
angles not necessarily 90°.
-
Square: A quadrilateral with
all four sides equal and
all four angles 90° (a special case of both rectangle and rhombus).
---
✔ Row 1:
Shape: Red square, all sides = 5 in
- All sides are equal → 5 in
- All angles are 90° (implied by being a square)
- So it's a
square
- Also qualifies as a
rectangle and
rhombus, but the
most specific answer is
square
✔ Check: Square
---
✔ Row 2:
Shape: Yellow rectangle, dimensions: 3 ft × 6 ft
- Opposite sides equal: 3 ft and 6 ft
- Angles are 90° (rectangle shape)
- Not all sides equal → not a rhombus or square
- So it’s a
rectangle
✔ Check: Rectangle
---
✔ Row 3:
Shape: Green diamond (rotated), all sides = 5 in
- All four sides are equal → 5 in
- But angles are not 90° (it’s tilted, like a diamond)
- So it’s a
rhombus
- Not a rectangle or square
✔ Check: Rhombus
---
✔ Row 4:
Shape: Purple diamond, all sides = 3 ft
- All sides equal → 3 ft
- But angles are not 90° (looks like a rotated rhombus)
- So again, it’s a
rhombus
- Not a rectangle or square
✔ Check: Rhombus
---
✔ Row 5:
Shape: Blue rectangle, dimensions: 3 cm × 5 cm
- Opposite sides equal: 3 cm and 5 cm
- Angles are 90°
- Not all sides equal → not a square or rhombus
- So it’s a
rectangle
✔ Check: Rectangle
---
🟩 Final Answers:
| Shape | Rectangle | Rhombus | Square |
|------|-----------|---------|--------|
| 1. 5x5 in red square |
✘ |
✘ |
✔ |
| 2. 3x6 ft yellow |
✔ |
✘ |
✘ |
| 3. 5 in green diamond |
✘ |
✔ |
✘ |
| 4. 3 ft purple diamond |
✘ |
✔ |
✘ |
| 5. 3x5 cm blue |
✔ |
✘ |
✘ |
---
✔ Summary of Checks:
1.
Square
2.
Rectangle
3.
Rhombus
4.
Rhombus
5.
Rectangle
Let me know if you'd like a printable version or explanation for kids! 😊
Parent Tip: Review the logic above to help your child master the concept of geometry worksheet grade 3.
