Class 4 Geometry. Answer the questions. For more such worksheets visit (1) The given figure has line segments.

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1 ID : in-4-geometry [1] Class 4 Geometry For more such worksheets visit Answer the questions (1) The given figure has line segments. (2) How many curved lines can be found in the given figure? (3) What is the size of the radius in terms of the diameter of a circle? (4) A closed planar shape with six sides is called a. (5) What is a polygon with 9 sides called? (6) What has only one endpoint and can be extended endlessly in the other direction? (7) What do we call the part of a line that has two distinct end points?

2 ID : in-4-geometry [2] Choose correct answer(s) from the given choices (8) Choose the correct net for the given solid shape. a. b. c. d.

3 (9) Find the 3-D shape that fits best with the given description: 3 faces, 2 edges, and 0 vertex a. Cylinder b. Triangular Prism ID : in-4-geometry [3] c. Cone d. Cube (10) Identify the open figure from the given options. a. b. c. d. (11) Which of the following is not a simple closed curve? a. b. c. d. (12) Which of following statements is correct? a. One line segment can divide a rectangle into two smaller rectangles. b. One line segment can divide a pentagon into two smaller pentagons. c. One line segment can divide a circle into two smaller circles. d. One line segment can divide a square into two smaller squares.

4 (13) Identify the side view of the given 3-D object. ID : in-4-geometry [4] a. b. c. d. Fill in the blanks (14) A diameter divides a circle in equal parts. Check True/False (15) The length of a ray or a line can be measured. True False 2017 Edugain ( All Rights Reserved Many more such worksheets can be generated at

5 Answers ID : in-4-geometry [5] (1) 9 We know that a line segment is a part of a line that is bounded by two distinct end-points. In order to count the number of line segments in the given figure, let us label it accordingly: So, the line segments are: CD, CB, CA, CE, DA, DB, DE, AB and AE. On counting the number of line segments, we conclude that the given figure has 9 line segments. (2) 3 We know that a line that bends in a continuous way without making any sharp angles is called a curved line. The highlighted lines in the figure below represent curved lines. So, we can say that the given figure has 3 curved lines.

6 (3) Radius is half the size of diameter ID : in-4-geometry [6] We know that the diameter is equal to two times the radius. This means radius is one half of the diameter. (4) hexagon A closed planar shape with six sides will look as follows: We observe that the given figure is a hexagon. (5) Nonagon We know that a polygon with 9 sides is called a Nonagon. (6) A ray A line segment which extends endlessly in one direction is called a ray. As an example, the figure above shows a ray AB. It has one endpoint as A. This ray can be represented as. We should remember that a ray does not have a definite length. (7) Line Segment The line segment is the part of a line that is bounded by two distinct end points as shown below:

7 ID : in-4-geometry [7] (8) b. We know that a net of a solid shape is a shape that can be folded along the given lines to form that particular solid shape. Let us look at the given options one by one. In option a, if we fold the given net along the given lines, we get: Hence, it is not the correct net for the given solid shape. In option b, if we fold the given net along the given lines, we get: Hence, it is the correct net for the given solid shape. In option c, if we fold the given net along the given lines, we get: Hence, it is not the correct net for the given solid shape. In option d, if we fold the given net along the given lines, we get:

8 ID : in-4-geometry [8] Hence, it is not the correct net for the given solid shape. Therefore, option b is the correct answer. (9) a. Cylinder Let us look at the following definitions: Vertex - It is a point where two or more lines meet. Edge - It is a line segment that joins two vertices. Face - It is the surface of a solid object. Let us look at the options one by one. Option a, i.e., Cylinder, has 3 faces, 2 edges, and 0 vertex. Option b, i.e., Triangular Prism, has 5 faces, 9 edges, and 6 vertices. Option c, i.e., Cone, has 2 faces, 1 edge, and 1 vertex.

9 ID : in-4-geometry [9] Option d, i.e., Cube, has 6 faces,12 edges, and 8 vertices. Therefore, we find that the 3-D shape with 3 faces, 2 edges, and 0 vertex is a cylinder. Hence, option a is the correct answer. (10) b. A figure that does not begin and end at the same point is called an open figure. Let us observe each option one by one. The figure in option a begins and ends at the same point. Hence, it is not an open figure. The figure in option b does not begin and end at the same point. Hence, it is an open figure. The figure in option c begins and ends at the same point. Hence, it is not an open figure. The figure in option d begins and ends at the same point. Hence, it is not an open figure. Hence, option b is the correct answer.

10 ID : in-4-geometry [10] (11) b. A curve that does not cross itself and ends at the same point where it begins is called a simple closed curve. Let us observe each option one by one. In option a, the curve does not cross itself and ends at the same point where it begins. Hence, the given curve is a simple closed curve. In option b, the curve crosses itself. Hence, the given curve is not a simple closed curve. In option c, the curve does not cross itself and ends at the same point where it begins. Hence, the given curve is a simple closed curve. In option d, the curve does not cross itself and ends at the same point where it begins. Hence, the given curve is a simple closed curve. Therefore, the curve given in option b is not a simple closed curve.

11 (12) a. One line segment can divide a rectangle into two smaller rectangles. ID : in-4-geometry [11] Let us see how a line segment divides all the asked figures: a d c b We can see that the options d, c and b are not true. A line segment can divide a rectangle into two smaller rectangles.. Hence, the correct answer is option a.

12 ID : in-4-geometry [12] (13) d. We know that the side view of an object is the view of the object when looked from the side. On observing the given object from the left and the right side,we see, Hence, option d represents the side view of the given object. (14) two Let us look at the figure given below: We know that the diameter is a line segment that passes through the center of the circle, and extends to the circumference of the circle on both sides. As we can see that the diameter divides the circle into two parts and since, it passes through the center of the circle, both parts must be equal. Step 4 Hence, a diameter divides a circle in two equal parts.

13 (15) False ID : in-4-geometry [13] The length of a ray or a line cannot be measured because it does not have a definite length. A line segment which is extended endlessly in one direction becomes a ray. Similarly, a line segment that has been extended endlessly in both the directions becomes a line. A Ray A Line Thus, the correct answer is False.