Moderate Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Name a polygon with six sides.
Perfect! A hexagon has exactly 6 sides and 6 vertices.
(2) How many diagonals does a rectangle have?
Correct! A rectangle has 2 diagonals that bisect each other.
(3) What is the name of a polygon with five sides?
Excellent! Pentagon comes from Greek "penta" meaning five.
(4) Name the common point where two rays meet.
Great! A vertex is also the point where two line segments meet to form an angle.
(5) Write the names of three line segments from triangle PQR.
Perfect! These are the three sides of triangle PQR.
(6) How many angles does a quadrilateral have?
Correct! A quadrilateral has 4 angles, and their sum is 360°.
(7) What is the minimum number of sides a polygon can have?
Right! A triangle is the simplest polygon with 3 sides.
(8) Name an open curve from your surroundings.
Great! Open curves don't form a complete loop.
(9) Can a polygon have curved sides?
Correct! Polygons must have only straight line segments as sides.
(10) Write one example of a closed curve that is not a polygon.
Perfect! Circles are closed curves but not polygons since they have curved boundaries.
Short Answer Questions (2 Marks Each)
Note: Answer each question with steps and explanation in 2-3 sentences. Write down the answers on sheet and submit to the school subject teacher.
(1) Draw a quadrilateral ABCD and write the names of all its sides, angles, and vertices.
(2) What is the difference between a polygon and a non-polygon? Give examples.
Polygon definition:
Polygon example:
Non-polygon definition: Figure that has
Non-polygon example:
Great understanding! Polygons must be closed and have only straight sides.
(3) Draw a closed figure using 4 line segments. Name it and mark its angles.
Name of figure:
Number of angles:
Perfect! Any closed figure with 4 line segments is a quadrilateral.
(4) Define: (a) Ray (b) Angle
(a) Ray: A ray has one
(b) Angle: An angle is formed when two
Excellent definitions! Remember that rays have one endpoint while lines have none.
(5) Name the parts of the circle: centre, radius, diameter, and chord using a diagram.
Centre: The
Radius: Line segment from
Diameter: Line segment passing through
Chord:
Perfect understanding of circle parts!
Long Answer Questions (4 Marks Each)
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
(1) Draw a pentagon PQRST:
(a) Mark all vertices. Vertices:
(b) Name its 5 sides and 5 angles.
Sides:
Angles: ∠
(c) Write all possible diagonals.
Diagonals:
Great! A pentagon has 5 diagonals. Formula:
(d) Identify if the figure is closed or open.
Perfect! All polygons are closed figures by definition.
(2) Using a compass, draw a circle of radius 3 cm.
(a) Mark its centre as O.
(b) Draw two radii and one diameter.
(c) Label any chord AB that is not a diameter.
(d) Identify and mark the interior and exterior points of the circle.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) How many sides does a hexagon have?
(a) 5 (b) 6 (c) 7 (d) 8
Correct! "Hexa" means six, so a hexagon has 6 sides.
(2) In triangle ABC, ∠A + ∠B + ∠C equals:
(a) 90° (b) 180° (c) 270° (d) 360°
Correct! The sum of all angles in any triangle is always 180°.
(3) A polygon with 8 sides is called:
(a) Pentagon (b) Heptagon (c) Octagon (d) Nonagon
Correct! "Octa" means eight, so an octagon has 8 sides.
(4) Which of the following is not a part of a circle?
(a) Radius (b) Chord (c) Diameter (d) Vertex
Correct! Circles don't have vertices - only polygons do.
(5) In a closed figure, all the sides:
(a) are curved (b) meet at one point only (c) do not meet (d) meet end to end
Correct! In closed figures, each side connects to the next side end to end.
(6) How many line segments are needed to draw a triangle?
(a) 2 (b) 3 (c) 4 (d) 5
Correct! A triangle has 3 sides, so we need 3 line segments.
(7) Which of the following is a non-polygon?
(a) Triangle (b) Rectangle (c) Circle (d) Square
Correct! A circle has curved boundaries, so it's not a polygon.
(8) Two line segments intersect at:
(a) A point (b) A curve (c) A ray (d) A polygon
Correct! Two line segments can intersect at exactly one point.
(9) A quadrilateral has:
(a) 3 sides (b) 4 sides (c) 5 sides (d) 6 sides
Correct! "Quad" means four, so a quadrilateral has 4 sides.
(10) Which of the following has both straight and curved parts?
(a) Triangle (b) Semi-circle (c) Square (d) Hexagon
Correct! A semi-circle has a curved arc and a straight diameter.
Geometric Concepts Challenge
Determine whether these statements about geometry are True or False: