Grade 5 Geometry. Answer t he quest ions. Choose correct answer(s) f rom given choice. For more such worksheets visit

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1 ID : ae-5-geometry [1] Grade 5 Geometry For more such worksheets visit Answer t he quest ions (1) How many Line Segments can be drawn on a plane? (2) What is the sum of the angles that f orm a linear pair? (3) What is the term used to denote this type of angles? (4) A worm walks along the circumf erence of a circle at a speed which lets it complete one circle in 2:00:00 hours. What is the angle it would have covered in 1880 seconds? (5) What is a part of a line that has two distinct endpoints? (6) In a triangle, one angle is a complement of the other. What is the value of the third angle? Choose correct answer(s) f rom given choice (7) The minimum number of line segments that are need to f orm a closed f igure is a. Four b. Three c. Two d. One (8) Which of the f ollowing is an example of parallel line segments? a. Two sides of a triangle b. Opposite sides of a rectangle c. Any two diameters of a circle d. Two sides of a pentagon (9) Which of the f ollowing statements is f alse? a. All squares are rectangles b. All rectangles are quadrilaterals c. All squares are quadrilaterals d. All quadrilaterals are rectangles (10) The distance f rom the center of a circle to a point on its circumf erence is called a. chord b. radius c. segment d. diameter

2 ID : ae-5-geometry [2] Fill in the blanks (11) If angle BDC and ACB are right angles, the value of angle CBD is? (12) If you divide a circle into 9 equal parts by drawing radii, then the angle between any two adjacent radii so drawn is (13) Compute the angle CBD in the f igure below is. Check True/False (14) It is not possible f or an angle and it's supplementary angle to be part of a triangle. True False (15) The length of a ray or a line can be measured. True False 2016 Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : ae-5-geometry [3] (1) Countless (Or Inf inite) (2) 180 A pair of adjacent angles is said to be a linear pair if their angles have one arm common and the other arm as opposite ray. Let us understand through the f ollowing illustration: In the above f igure, MON and PON f orm a linear pair of angles as they have a common arm ON and their other arms are OP and OM which are opposite rays. POM = 180 (A straight line) Theref ore, POM + MON = 180 Step 5 Hence, the sum of the angles that f orm a linear pair is 180. (3) Complementary Angles In the given f igure, DBC = 44 and ABC = 46. The sum of these two angles is = 90. We know that a pair of angles whose sum is 90 is called as complementary angles. T heref ore, the term used to denote the given type of angles is complementary angles.

4 (4) 94 ID : ae-5-geometry [4] We know that complete circumf erence of circle covers angle of 360 It is given that worm covers 360 in 2:00:00 hours. 2:00:00 hours = 7200 seconds Since in 7200 seconds, it covers angle of 360 T heref ore angle covered in 1880 seconds = 1880(360/7200) angle = 94 (5) Line Segment A line segment is a part of a line that is bounded by two distinct end points as shown below: (6) 90 Let us recall the f act that in a triangle, the sum of all internal angles is 180. Let us look at the def inition of complementary angles: two angles are complimentary to each other if their total is 90. In the given triangle, two angles are complimentary two each other. This means, the sum of two angles is 90. Let us assume the third unknown angle is y. This means: y + 90 = 180 or, y = or, y = 90 Theref ore, the third angle is 90

5 (7) b. Three ID : ae-5-geometry [5] A line segment is part of a line that is bounded by two distinct end points, and contains every point on the line between its end points. One line segment can not be used to create a closed f igure. Two line segments also can not be used to create a closed f igure as shown below: Three line segment can be used to create a closed f igure. For example, a triangle has three line segments and f orms a closed f igure. Theref ore, three is the minimum number of line segments required to create a closed f igure. (8) b. Opposite sides of a rectangle (9) d. All quadrilaterals are rectangles

6 (10) b. radius ID : ae-5-geometry [6] Let us look at the def inition of radius: A line segment joining any point on the circumf erence of a circle to its centre is called a radius of the circle. As an example, let us look at the f igure below: In the f igure above, if Q is the centre of the circle and R is a point on the circle, then QR is a radius of the circle which describes the distance f rom the centre of the circle to a point on its circumf erence. Theref ore, the common term to describe the distance f rom the centre of a circle to a point on its circumf erence is called radius. (11) 60 We know that the sum of all interior angles of a triangle is 180. Theref ore, f or triangle ΔABC, CBD + BCA + CAD = 180 CBD = 180 CBD = ( ) CBD = 60 (12) (13) 40 67

7 (14) True ID : ae-5-geometry [7] Let us f irst recall the f act that the sum of all three angles of a triangle is 180 degrees. Let us now look at the def inition of supplementary angles: two angles are called supplementary if the sum of their measures is 180 degrees. We need to f ind if we can have a triangle which has a pair of supplementary angles. For a moment, let us assume that such a triangle could exist. In such a triangle, the sum of two angles (supplimentary ones) will be 180 degrees. T his means that the third angles will need to be zero degrees. We know that we can not create a triangle with one of the angles being zero degrees. Step 5 This means, it is not possible f or an angle and its supplementary angle to be part of a triangle. (15) False The length of a ray or a line cannot be measured because it does not have a def inite 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.

Grade 5 Geometry. Answer the questions. For more such worksheets visit

Grade 5 Geometry. Answer the questions. For more such worksheets visit ID : ae-5-geometry [1] Grade 5 Geometry For more such worksheets visit www.edugain.com Answer the questions (1) A 4-sided flat shape with straight sides where the opposite sides are parallel is called