Q1: A polygon with 8 sides is called a(n) __________. (a) hexagon (b) octagon (c) pentagon (d) heptagon
Solution:
Ans: (b) Explanation: An octagon is a polygon with exactly 8 sides. A hexagon has 6 sides, a pentagon has 5 sides, and a heptagon has 7 sides.
Q2: Which of the following statements about a square is NOT true? (a) All four sides are equal (b) All four angles are right angles (c) It has 4 lines of symmetry (d) Opposite sides are parallel but adjacent sides are not perpendicular
Solution:
Ans: (d) Explanation: In a square, adjacent sides are perpendicular to each other, meaning they meet at right angles. Option (d) is false because it states adjacent sides are not perpendicular. All other statements correctly describe properties of a square.
Q3: A triangle with all three sides of different lengths is called a __________. (a) equilateral triangle (b) isosceles triangle (c) scalene triangle (d) right triangle
Solution:
Ans: (c) Explanation: A scalene triangle has all three sides of different lengths. An equilateral triangle has all sides equal, and an isosceles triangle has exactly two equal sides. A right triangle refers to angle measurement, not side length.
Q4: How many degrees are in the sum of all interior angles of a quadrilateral? (a) 180° (b) 270° (c) 360° (d) 450°
Solution:
Ans: (c) Explanation: The sum of all interior angles of any quadrilateral is always 360°. This can be found by dividing the quadrilateral into two triangles, each having angle sum 180°, so \(180° + 180° = 360°\).
Q5: Which shape has exactly one pair of parallel sides? (a) rectangle (b) trapezoid (c) parallelogram (d) rhombus
Solution:
Ans: (b) Explanation: A trapezoid has exactly one pair of parallel sides. A rectangle, parallelogram, and rhombus all have two pairs of parallel sides.
Q6: What is the measure of each interior angle of a regular pentagon? (a) 90° (b) 108° (c) 120° (d) 72°
Solution:
Ans: (b) Explanation: A regular pentagon has 5 equal sides and 5 equal angles. The sum of interior angles of a pentagon is \((5-2) × 180° = 540°\). Each angle measures \(540° ÷ 5 = 108°\).
Q7: A parallelogram with all sides equal in length is called a __________. (a) rectangle (b) square (c) rhombus (d) kite
Solution:
Ans: (c) Explanation: A rhombus is a parallelogram with all four sides equal in length. A square is also a rhombus, but it has the additional property of having right angles. A rectangle has opposite sides equal but not all sides equal. A kite is not a parallelogram.
Q8: Which type of triangle has one angle measuring exactly 90°? (a) acute triangle (b) obtuse triangle (c) right triangle (d) equilateral triangle
Solution:
Ans: (c) Explanation: A right triangle has one angle that measures exactly 90°. An acute triangle has all angles less than 90°, and an obtuse triangle has one angle greater than 90°. An equilateral triangle has all angles measuring 60°.
Section B: Fill in the Blanks
Q9: A polygon with 6 sides is called a __________.
Solution:
Ans: hexagon Explanation: A hexagon is defined as a polygon with exactly 6 sides and 6 angles.
Q10: A line that divides a shape into two identical halves is called a line of __________.
Solution:
Ans: symmetry Explanation: A line of symmetry divides a shape into two mirror-image halves that are congruent.
Q11: The sum of all interior angles of a triangle is __________ degrees.
Solution:
Ans: 180 Explanation: The angle sum property of a triangle states that the three interior angles always add up to exactly 180°.
Q12: A quadrilateral with four right angles and opposite sides equal is called a __________.
Solution:
Ans: rectangle Explanation: A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length.
Q13: A triangle with two equal sides is called an __________ triangle.
Solution:
Ans: isosceles Explanation: An isosceles triangle has exactly two sides of equal length, and the angles opposite those sides are also equal.
Q14: In a parallelogram, opposite sides are both __________ and equal in length.
Solution:
Ans: parallel Explanation: By definition, a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel and equal in length.
Section C: Word Problems
Q15: Emma draws a triangle where one angle measures 55° and another angle measures 70°. What is the measure of the third angle?
Solution:
Ans: Step 1: The sum of all angles in a triangle = 180° Step 2: Third angle = \(180° - 55° - 70°\) Step 3: Third angle = \(180° - 125° = 55°\) Final Answer: 55°
Q16: A rectangular garden has a length of 12 meters and a width of 8 meters. What is the perimeter of the garden?
Q17: A regular hexagon has a perimeter of 42 centimeters. What is the length of each side?
Solution:
Ans: Step 1: A regular hexagon has 6 equal sides Step 2: Length of each side = Perimeter ÷ 6 Step 3: Length of each side = \(42 ÷ 6 = 7\) centimeters Final Answer: 7 centimeters
Q18: Marcus is making a kite in the shape of a rhombus. If one side of the kite measures 15 inches, what is the total length of material he needs for all four sides?
Solution:
Ans: Step 1: A rhombus has 4 equal sides Step 2: Total length = \(4 × 15\) Step 3: Total length = 60 inches Final Answer: 60 inches
Q19: A square playground has a perimeter of 96 feet. What is the length of one side of the playground?
Solution:
Ans: Step 1: A square has 4 equal sides Step 2: Length of one side = Perimeter ÷ 4 Step 3: Length of one side = \(96 ÷ 4 = 24\) feet Final Answer: 24 feet
Q20: In quadrilateral ABCD, three angles measure 85°, 110°, and 75°. What is the measure of the fourth angle?
Solution:
Ans: Step 1: The sum of all angles in a quadrilateral = 360° Step 2: Fourth angle = \(360° - 85° - 110° - 75°\) Step 3: Fourth angle = \(360° - 270° = 90°\) Final Answer: 90°
The document Worksheet (with Solutions): Properties of Shapes is a part of the Grade 5 Course Math Grade 5.
Extra Questions, shortcuts and tricks, Exam, Worksheet (with Solutions): Properties of Shapes, pdf , Summary, past year papers, MCQs, Viva Questions, Previous Year Questions with Solutions, Free, Sample Paper, Semester Notes, ppt, practice quizzes, video lectures, Objective type Questions, Worksheet (with Solutions): Properties of Shapes, Important questions, study material, Worksheet (with Solutions): Properties of Shapes, mock tests for examination;
