Shapes Space And Patterns Worksheets For Grade 4 - Fill and Sign ... - Free Printable
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Step-by-step solution for: Shapes Space And Patterns Worksheets For Grade 4 - Fill and Sign ...
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Step-by-step solution for: Shapes Space And Patterns Worksheets For Grade 4 - Fill and Sign ...
Since I can't view or access uploaded images directly, I can’t see the specific content of your image. However, based on the text you've provided, it appears to be a mathematics worksheet for Class IV, focusing on shapes, space, and patterns, particularly circles and polygons.
Let me solve and explain each part of the worksheet as clearly as possible.
---
1. A polygon is named according to number of _______ it has.
✔ Answer: *sides*
→ Polygons are classified by the number of their sides (e.g., triangle = 3 sides, quadrilateral = 4 sides).
2. Closed shapes formed only with straight lines are called _______.
✔ Answer: *polygons*
→ By definition, polygons are closed figures made of straight line segments.
3. The length of the circle is called a _______.
✔ Answer: *circumference*
→ The distance around a circle is called its circumference.
4. _______ is twice the radius of the circle.
✔ Answer: *Diameter*
→ Diameter = 2 × Radius
5. The instrument used to draw a circle is called _______.
✔ Answer: *compass*
→ A compass is the tool used to draw circles.
6. The longest chord of the circle is called _______.
✔ Answer: *diameter*
→ The diameter is the longest chord because it passes through the center.
7. The diameter passes through the _______ of the circle.
✔ Answer: *center*
→ By definition, the diameter goes from one point on the circle, through the center, to the opposite side.
8. A polygon with three line segments is called a _______.
✔ Answer: *triangle*
→ Three sides → triangle.
9. Closed shapes are also called _______.
✔ Answer: *closed figures* or *closed curves*
→ "Closed" means the shape has no open ends.
10. A circle is named by its _______.
✔ Answer: *center*
→ We name a circle by its center point (e.g., Circle O if O is the center).
11. A polygon with 4 sides is called _______.
✔ Answer: *quadrilateral*
→ Four-sided polygon.
12. Shapes that fit in such a way that there are no gaps and they do not overlap are called _______.
✔ Answer: *tessellations*
→ Tiling patterns where shapes fit perfectly without gaps or overlaps.
13. When we half of the figure is exactly the same as the other half the figure is called _______.
✔ Answer: *symmetrical*
→ Symmetry means both halves are mirror images.
14. The radius of a circle is 2 cm. Its diameter is _______.
✔ Answer: *4 cm*
→ Diameter = 2 × Radius = 2 × 2 = 4 cm
15. A special rectangle in which all 4 sides are equal is called _______.
✔ Answer: *square*
→ A square is a rectangle with all four sides equal.
---
1. All rectangles are quadrilaterals.
✔ True
→ Rectangles have four sides → they are quadrilaterals.
2. All rectangles are squares.
✘ False
→ Only rectangles with all sides equal are squares.
3. The radius of a circle is double the length of diameter.
✘ False
→ Radius is half the diameter. So this is incorrect.
4. All the radii of a particular circle are of equal length.
✔ True
→ All radii of a circle are equal in length.
5. All closed curves form polygons.
✘ False
→ Not all closed curves are polygons (e.g., circles are closed but not polygons).
6. The chord and radius of a circle meet at the centre of the circle.
✘ False
→ The radius connects the center to a point on the circle. A chord connects two points on the circle. Only if the chord passes through the center (i.e., diameter) does it meet the center. But not all chords do.
7. A circle is a polygon.
✘ False
→ Circles are not polygons because they are curved, not made of straight lines.
---
1. The diameter of a wheel is 40cm. Find its radius?
→ Radius = Diameter ÷ 2
→ Radius = 40 ÷ 2 = 20 cm
✔ Answer: 20 cm
2. The radius of a circle is 16 cm, then what will be the diameter?
→ Diameter = 2 × Radius
→ Diameter = 2 × 16 = 32 cm
✔ Answer: 32 cm
---
#### Fill in the Blanks:
1. sides
2. polygons
3. circumference
4. Diameter
5. compass
6. diameter
7. center
8. triangle
9. closed figures
10. center
11. quadrilateral
12. tessellations
13. symmetrical
14. 4 cm
15. square
#### True or False:
1. True
2. False
3. False
4. True
5. False
6. False
7. False
#### Solve:
1. Radius = 20 cm
2. Diameter = 32 cm
---
If you have any doubts or want explanations in simpler terms (for Class IV), feel free to ask!
Let me solve and explain each part of the worksheet as clearly as possible.
---
Part A: Fill in the Blanks
1. A polygon is named according to number of _______ it has.
✔ Answer: *sides*
→ Polygons are classified by the number of their sides (e.g., triangle = 3 sides, quadrilateral = 4 sides).
2. Closed shapes formed only with straight lines are called _______.
✔ Answer: *polygons*
→ By definition, polygons are closed figures made of straight line segments.
3. The length of the circle is called a _______.
✔ Answer: *circumference*
→ The distance around a circle is called its circumference.
4. _______ is twice the radius of the circle.
✔ Answer: *Diameter*
→ Diameter = 2 × Radius
5. The instrument used to draw a circle is called _______.
✔ Answer: *compass*
→ A compass is the tool used to draw circles.
6. The longest chord of the circle is called _______.
✔ Answer: *diameter*
→ The diameter is the longest chord because it passes through the center.
7. The diameter passes through the _______ of the circle.
✔ Answer: *center*
→ By definition, the diameter goes from one point on the circle, through the center, to the opposite side.
8. A polygon with three line segments is called a _______.
✔ Answer: *triangle*
→ Three sides → triangle.
9. Closed shapes are also called _______.
✔ Answer: *closed figures* or *closed curves*
→ "Closed" means the shape has no open ends.
10. A circle is named by its _______.
✔ Answer: *center*
→ We name a circle by its center point (e.g., Circle O if O is the center).
11. A polygon with 4 sides is called _______.
✔ Answer: *quadrilateral*
→ Four-sided polygon.
12. Shapes that fit in such a way that there are no gaps and they do not overlap are called _______.
✔ Answer: *tessellations*
→ Tiling patterns where shapes fit perfectly without gaps or overlaps.
13. When we half of the figure is exactly the same as the other half the figure is called _______.
✔ Answer: *symmetrical*
→ Symmetry means both halves are mirror images.
14. The radius of a circle is 2 cm. Its diameter is _______.
✔ Answer: *4 cm*
→ Diameter = 2 × Radius = 2 × 2 = 4 cm
15. A special rectangle in which all 4 sides are equal is called _______.
✔ Answer: *square*
→ A square is a rectangle with all four sides equal.
---
Part B: True or False
1. All rectangles are quadrilaterals.
✔ True
→ Rectangles have four sides → they are quadrilaterals.
2. All rectangles are squares.
✘ False
→ Only rectangles with all sides equal are squares.
3. The radius of a circle is double the length of diameter.
✘ False
→ Radius is half the diameter. So this is incorrect.
4. All the radii of a particular circle are of equal length.
✔ True
→ All radii of a circle are equal in length.
5. All closed curves form polygons.
✘ False
→ Not all closed curves are polygons (e.g., circles are closed but not polygons).
6. The chord and radius of a circle meet at the centre of the circle.
✘ False
→ The radius connects the center to a point on the circle. A chord connects two points on the circle. Only if the chord passes through the center (i.e., diameter) does it meet the center. But not all chords do.
7. A circle is a polygon.
✘ False
→ Circles are not polygons because they are curved, not made of straight lines.
---
Part C: Solve
1. The diameter of a wheel is 40cm. Find its radius?
→ Radius = Diameter ÷ 2
→ Radius = 40 ÷ 2 = 20 cm
✔ Answer: 20 cm
2. The radius of a circle is 16 cm, then what will be the diameter?
→ Diameter = 2 × Radius
→ Diameter = 2 × 16 = 32 cm
✔ Answer: 32 cm
---
✔ Final Answers Summary:
#### Fill in the Blanks:
1. sides
2. polygons
3. circumference
4. Diameter
5. compass
6. diameter
7. center
8. triangle
9. closed figures
10. center
11. quadrilateral
12. tessellations
13. symmetrical
14. 4 cm
15. square
#### True or False:
1. True
2. False
3. False
4. True
5. False
6. False
7. False
#### Solve:
1. Radius = 20 cm
2. Diameter = 32 cm
---
If you have any doubts or want explanations in simpler terms (for Class IV), feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of shapes worksheet grade 4.
