ID : in-5-geometry [1] Class 5 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) The set square is in the shape of. (2) Identify the semicircle that contains 'C'. A C O B (3) An angle whose measure is more than 0 and less than 90 is called a/an. (4) If you divide a circle into 18 equal parts by drawing radii, then what is the angle between any two adjacent radii so drawn? (5) State true or false: A plane has a boundary. (6) Perimeter of a square is twice the perimeter of a triangle. Find the length of the side of a square. (7) What term is used to describe a line segment smaller than the diameter of the circle with endpoints on the circumference of a circle? (8) ABC is a right angle and a:b = 2:3. Find b.
(9) Find the measure of CBD in the figure given below. ID : in-5-geometry [2] (10) What is the term used to describe a triangle that has all its three sides unequal? (11) If the radius of a circle is 35.4m, then, what is the circumference of that circle? NOTE: Assume that the value of "pi" (ratio of the circle's circumference to its diameter) is 3. Choose correct answer(s) from the given choices (12) Which of the following is true? a. A line segment can extend indefinitely in both the directions. c. A line cannot extend indefinitely in both the directions. b. A line segment has no definite length. d. A line has no definite length.
(13) Which of the quadrilaterals has both 2 pair of parallel sides and 2 acute angles? ID : in-5-geometry [3] a. Rhombus b. Parallelogram Trapezium Rhombus c. Rectangle d. Square Trapezium Parallelogram (14) Two rays having a common endpoint form an/a: a. Angle b. Vertex c. Line segment d. Ray (15) An angle whose measure is more than 180 but less than 360 is called. a. Obtuse Angle b. Complementary Angle c. Acute Angle d. Reflex Angle 2017 Edugain (www.edugain.com). All Rights Reserved Many more such worksheets can be generated at www.edugain.com
Answers ID : in-5-geometry [4] (1) Triangle We know that the two triangular shaped objects contained in the geometry box are called set squares. They look like: 45 60 45 90 30 90 We see that the set square is in the shape of a triangle. (2) Semicircle ACB Remember: A half-circle formed by cutting a full circle along its diameter is called a semicircle. As AB is the diameter, the given circle is divided into semicircle ACB and semicircle AB. We can see that the point 'C' lies in the semicircle ACB.
(3) acute angle ID : in-5-geometry [5] The angle whose measure is more than 0 and less than 90 will look as: It is called an acute angle. (4) 20 The full angle around the center of a circle or any point for that matter is 360. When we divide a circle into 18 equal parts by drawing radii, i.e. line segments originating from the center and ending at the circumference of a circle, we're basically dividing 360 degree into 18 equal parts. 360 18 = 20, which means the angle between any two such adjacent radii will be equal to 20.
(5) False ID : in-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. (6) We are told that the perimeter of a square is twice the perimeter of a triangle. So, the perimeter of the square ABCD = 2 Perimeter of the triangle XYZ 4 side = 2 (XY + YZ + ZX) 4 side = 2 (8 cm + 11 cm + 4 cm) 4 side = 2 23 cm Each side = 46 4 cm = 11.5 cm Therefore, the side of the square ABCD = 11.5 cm (7) Chord A chord is a line segment whose end-points lie on the circumference of a circle. In the figure above, the line segments AB, CD, RS are all chords.
(8) 54 ID : in-5-geometry [7] Since ABC = 90, we can say that a + b = 90. We're also given that a b = 2 3. Cross multiplying the fractions we get 3a = 2b, and on dividing both sides by 3 we get, a = 2b 3. Putting this value of a in a + b = 90, we get 2b 3 + b = 90, or 5 3 b = 90. Cross multiplying the fractions again we get b = 90 3 5, or b = 54. Step 4 Therefore, the angle b is 54. (9) 127 In the given figure, DBA is a straight line. Thus, DBA = 180 So, the sum of the two angles CBD and CBA is 180. Thus, CBD + CBA = 180 or, CBD + 53 = 180 or, CBD = 180-53 = 127 Hence, the CBD is 127.
(10) Scalene triangle ID : in-5-geometry [8] If all the three sides of a triangle are of different lengths, then the triangle is called a scalene triangle. Let us understand through the following illustration: In the above figure, AB BC CA Step 4 So, let us always remember that a triangle that has all its three sides unequal is called scalene triangle.
(11) 212.4m ID : in-5-geometry [9] The diameter of a circle is twice the radius of the circle. So, diameter = 2 radius = 2 35.4 = 70.8 m The question tells us that "pi", the ratio of the circle's circumference to the diameter = 3. This means, Circumference Diameter = 3, or Circumference 70.8 = 3 Step 4 Here, we know the divisor and the quotient. The dividend or the circmference = Divisor Quotient = 70.8 3 = 212.4 m. Step 5 Hence, the circumference of the circle is 212.4 m (12) d. A line has no definite length. We know that a line is represented as: So, we see that a line can extend indefinitely in both the directions. Hence, it has no definite length. A line segment is represented as: So, we see that a line segment cannot extend indefinitely in both the directions. Hence, it has definite length. A ray is represented as: We see that a ray can be extended indefinitely in one direction. Hence, is has no definite length. Step 4 Thus, the true statement is 'A line has no definite length.'
ID : in-5-geometry [10] (13) b. Parallelogram Rhombus Let us look at each pair of quadrilaterals and list down the properties of each of them. Parallelogram: A parallelogram has two pairs of parallel sides. Parallelogram Rectangle: A rectangle is a parallelogram that has 4 right angles and opposite sides of equal length. Rectangle Square: A square is a rectangle that has all 4 sides of equal length. Square Trapezium: A trapezium have exactly one pair of parallel side. Trapezium Rhombus: A rhombus is a parallelogram with 4 sides of same length.
ID : in-5-geometry [11] Rhombus We see that a trapezium cannot have 2 pairs of parallel sides. Also, a rectangle and a square cannot have acute angles. Hence, we are left with a parallelogram and a rhombus. Thus, Parallelogram sides and 2 acute angles. Rhombus have both 2 pairs of parallel (14) a. Angle Let us draw two rays with a common endpoint. Ray Vertex Angle We see that the above figure is an angle. Hence, an angle is formed when two rays have a common end point.
(15) d. Reflex Angle ID : in-5-geometry [12] An angle whose measure is more than 180 but less than 360 is called a reflex angle.