Moderate Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) What is the diameter of a circle whose radius is 2.5 cm?
Correct! Diameter = 2 × radius = 2 × 2.5 = 5 cm.
(2) How many degrees are there in a straight angle?
Perfect! A straight angle measures 180°.
(3) Name the instrument used to construct a 90° angle directly.
Excellent! A protractor can directly measure and construct 90° angles.
(4) Define the perpendicular bisector of a line segment. Line that cuts segment at
Great! A perpendicular bisector is a line that passes through the midpoint of a line segment at right angles.
(5) Which construction is needed to find the midpoint of a line segment?
Correct! The perpendicular bisector construction helps locate the midpoint.
Short Answer Questions (2 Marks Each)
Answer each question with proper construction steps
(1) Draw a line segment of length 7 cm. Construct its perpendicular bisector.
(2) Construct an angle of 90° at a point on a given line.
(3) Draw a circle with radius 4 cm. Mark its centre, radius, and diameter.
(4) Draw a perpendicular to a given line from a point outside it.
(5) Construct an angle of 120° using a compass.
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete steps and clear explanations.
(1) Draw a line segment of length 10 cm and divide it into two equal parts using a compass.
(2) Construct angles of 30° and 60° using a compass and ruler. Write the steps.
(3) From a point P outside a line l, draw a perpendicular to l using ruler and compass.
(4) Draw a circle of radius 5 cm and construct a perpendicular bisector of its diameter.
(5) Construct an angle of 75° using only a compass.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The diameter of a circle is always:
(a) Equal to radius (b) Twice the radius (c) Half the radius (d) None
Correct! Diameter is always twice the radius: d = 2r.
(2) The measure of a straight angle is:
(a) 90° (b) 120° (c) 150° (d) 180°
Correct! A straight angle measures exactly 180°.
(3) The instrument used to construct an angle of 90° directly is:
(a) Compass (b) Divider (c) Protractor (d) Ruler
Correct! A protractor can directly measure and construct 90° angles.
(4) The perpendicular bisector of a line segment passes through its:
(a) Endpoint (b) Midpoint (c) Any point (d) Diameter
Correct! The perpendicular bisector always passes through the midpoint of a line segment.
(5) A circle with diameter 8 cm has radius:
(a) 2 cm (b) 4 cm (c) 6 cm (d) 8 cm
Correct! Radius = diameter ÷ 2 = 8 ÷ 2 = 4 cm.
(6) The measure of an angle greater than 90° but less than 180° is called:
(a) Acute angle (b) Right angle (c) Obtuse angle (d) Reflex angle
Correct! An obtuse angle measures between 90° and 180°.
(7) To construct 120° using a compass, we make:
(a) One arc division (b) Two arc divisions of 60° (c) Three arc divisions of 30° (d) None of these
Correct! 120° = 60° + 60°, so we make two arc divisions of 60° each.
(8) Which of the following is correct?
(a) Diameter = 2 × Radius (b) Radius = 2 × Diameter (c) Radius = Diameter (d) None
Correct! Diameter is always twice the radius: d = 2r.
(9) A line drawn at right angles to another is called:
(a) Parallel line (b) Perpendicular line (c) Bisector (d) Arc
Correct! A perpendicular line meets another line at 90°.
(10) The angle in a semicircle is:
(a) 30° (b) 60° (c) 90° (d) 180°
Correct! Any angle inscribed in a semicircle is always 90°.
Advanced Geometry Challenge
Determine whether these statements are True or False: