Grade 5 Geometry. Answer the questions. Choose correct answer(s) from the given choices. Fill in the blanks

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1 ID : cn-5-geometry [1] Grade 5 Geometry For more such worksheets visit Answer the questions (1) What is the common term for the perimeter of a circle? (2) What is the perimeter of an isosceles triangle in which each of the equal side is 21 cm and the third side is 40 cm? (3) What term can be used to describe a location in space that has no length and no width? (4) How many lines can be drawn through two distinct points? (5) What is the term used for an angle that measures 112? (6) If two angles of a triangle are 60 each. Name the triangle. (7) State true or false: A plane has a boundary. (8) What is the sum of two supplementary angles? (9) The set square is in the shape of. (10) What term can be used to denote two line that meet each other at an angle of 90 degree? Choose correct answer(s) from the given choices (11) The perimeter of a circle is called its: a. length b. circumference c. radius d. area (12) Two lines that are not parallel will meet. a. most of the times b. sometimes c. always d. never (13) Concentric circles are the circles having the same. a. center b. perimeter c. radius d. none of these Fill in the blanks (14) 4 right angles make a angle. (15) A diameter divides a circle in equal parts.

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3 Answers ID : cn-5-geometry [3] (1) Circumference The perimeter of any shape is the total length of its boundary. The common term for the perimeter of a circle is circumference. The circumference of a circle can be measured by taking a thread and wrapping it around the circle once. Once we do that, the length of the thread wrapped around the circle will be equal to the circumference of the circle. (2) 82 cm We know that the perimeter of any figure is the sum of the length of its boundaries. Since, the given figure is a triangle, its perimeter = Sum of its sides. An isosceles triangle is a triangle in which the length of two sides is equal. So, Length of first side = 21 cm Length of second side = 21 cm Length of third side = 40 cm Thus, perimeter of the isosceles triangle = 21 cm + 21 cm + 40 cm = 82 cm

4 (3) Point ID : cn-5-geometry [4] The image below represents a point. A point represents a location in space that has no length and no width. With the point we drew above, we may still argue that it has some length and width howsoever small. But, we should consider the fact that we gave the point some length and width so that it becomes visible to our eyes. Step 4 A point in real sense does not have any length or width. It is just a location in space. (4) One Let us draw the possible lines through two distinct points. We can draw only one line through two distinct points. Thus, only one line can be drawn through the given two distinct points.

5 (5) obtuse angle ID : cn-5-geometry [5] An angle whose measure is more than 90 but less than 180 is called an obtuse angle. Let us understand through the following illustration: In the given figure, AOB = 112. AOB is greater than 90 but is less than 180. Hence, it is an obtuse angle. (6) equilateral triangle Let us keep in mind that the sum of the three angles of a triangle is 180. In the given problem, we are told that two angles of a triangle are 60 each. The sum of the two known angles is = 120. The third angle can be found by subtracting the sum of two known angles from 180. Thus, the third angle is = 60 Step 4 We just saw that even the third angle of this triangle is 60. This means that all the three angles of the triangle are equal. Step 5 Since, all the three angles of the triangle are equal, it is an equilateral triangle.

6 (7) False ID : cn-5-geometry [6] We know that a plane is a smooth flat surface which extends endlessly in both the directions. As the plane extends endlessly in both the directions, it will have no boundary. Thus, the given statement is False. (8) 180 Two angles are said to be supplementary, if the sum of their measures is equal to 180. For example: = 180 So, the angles 120 and 60 are supplementary angles. (9) Triangle We know that the two triangular shaped objects contained in the geometry box are called set squares. They look like: We see that the set square is in the shape of a triangle.

7 (10) Perpendicular lines ID : cn-5-geometry [7] Let us draw the two lines that meet each other at 90. In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). Therefore, the term perpendicular can be used to describe two lines that meet each other at an angle of 90 degrees. (11) b. circumference The perimeter of any shape is the total length of the boundary of the shape. The common term used for the perimeter of a circle is called its circumference. The circumference of a circle can be measured by taking a thread and wrapping it around the circle once. Once that is done, the length of the thread wrapped around the circle will be equal to the circumference of the circle. Step 4 Hence, the correct answer is circumference.

8 (12) c. always ID : cn-5-geometry [8] Let us draw two lines that are not parallel. As shown in the above figure the two lines are not parallel. But they will intersect each other at some point when extended. Therefore, two lines will always meet if they are not parallel. (13) a. center Two circles are concentric when they have the same center as shown in figure:

9 ID : cn-5-geometry [9] (14) complete An angle whose measure is exactly 360 is called a complete angle. Let us understand through the following illustration: In the adjoining figure, we have 4 angles. Each angle is a right angle: POR = 90 ROQ = 90 SOP = 90 SOQ = 90 Total of all four angles = 360 (A complete angle) Step 4 Hence, 4 right angles make a complete angle.

10 ID : cn-5-geometry [10] (15) 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.