Knowledge Check : Geometry
Knowledge Check – Geometry
Basic Geometrical Ideas
Q1: Which object correctly represents a point?
A) Tip of a needle
B) Edge of a ruler
C) Surface of a book
D) Length of a road
Q2: A ray has
A) No end points
B) Two end points
C) One end point
D) Three end points
Q3: A closed figure formed only by straight line segments is called
A) Curve
B) Polygon
C) Angle
D) Ray
Q4: Which of the following is not a polygon?
A) Triangle
B) Circle
C) Pentagon
D) Quadrilateral
Q5: A line segment has
A) No endpoints
B) Only one endpoint
C) Two endpoints
D) Infinite endpoints
Q6: A path which bends but does not break is a
A) Ray
B) Line segment
C) Curve
D) Angle
Q7: A quadrilateral must have
A) Three sides
B) Four sides
C) Five sides
D) Six sides
Q8: The intersection point of two lines is called
A) Vertex
B) Endpoint
C) Midpoint
D) Plane
Q9: A triangle has how many vertices?
A) 1
B) 2
C) 3
D) 4
Q10: Which symbol is used to denote a line?
A) →
B) ↔
C) □
D) △
Q11: How many sides does a hexagon have?
A) 4
B) 5
C) 6
D) 7
Q12: A line drawn between two points of a circle and passing through the centre is
A) Radius
B) Arc
C) Diameter
D) Tangent
Q13: A shape with only three sides is a
A) Triangle
B) Diameter
C) Pentagon
D) Ray
Q14: Which of these is a curved figure?
A) Square
B) Triangle
C) Circle
D) Rectangle
Q15: The shortest distance between two points is a
A) Curve
B) Line segment
C) Circle
D) Ray
Understanding Lines and Angles
Q16: Two lines that intersect at 90° are called
A) Parallel lines
B) Perpendicular lines
C) Skew lines
D) Transversal lines
Q17: The angle formed when two lines meet is called a
A) Vertex
B) Ray
C) Angle
D) Arc
Q18: Two angles which add up to 90° are
A) Supplementary
B) Complementary
C) Adjacent
D) Vertically opposite
Q19: Two angles which add up to 180° are
A) Complementary
B) Adjoint
C) Supplementary
D) Reflex
Q20: Vertically opposite angles are always
A) Unequal
B) Supplementary
C) Equal
D) Complementary
Q21: A straight angle measures
A) 45°
B) 90°
C) 180°
D) 360°
Q22: A complete angle measures
A) 90°
B) 180°
C) 270°
D) 360°
Q23: A line crossing two parallel lines is called
A) Secant
B) Transversal
C) Tangent
D) Diameter
Q24: If one angle is 70°, its complementary angle is
A) 20°
B) 90°
C) 110°
D) 120°
Q25: If two lines intersect and one angle is 50°, its vertically opposite angle is
A) 130°
B) 50°
C) 90°
D) 180°
Q26: Acute angles are those which are
A) Less than 90°
B) Exactly 90°
C) More than 90°
D) Equal to 180°
Q27: An obtuse angle lies between
A) 0° and 90°
B) 90° and 180°
C) 180° and 270°
D) 270° and 360°
Q28: When two parallel lines are cut by a transversal, alternate interior angles are
A) Unequal
B) Complementary
C) Equal
D) Supplementary
Q29: A reflex angle measures
A) Less than 180°
B) Exactly 180°
C) More than 180° but less than 360°
D) Exactly 360°
Q30: Adjacent angles have
A) No common side
B) Only one common vertex and side
C) All sides common
D) Always equal measures
Basic 2D Shapes and Naming
Q31: A figure with four equal sides and four right angles is called
A) Rectangle
B) Square
C) Parallelogram
D) Rhombus
Q32: A rectangle has
A) All sides equal, no right angles
B) Opposite sides equal, all angles 90°
C) Only one right angle
D) No equal sides
Q33: A triangle with all three sides equal is called
A) Scalene triangle
B) Isosceles triangle
C) Equilateral triangle
D) Right triangle
Q34: A triangle with exactly two sides equal is called
A) Scalene triangle
B) Isosceles triangle
C) Equilateral triangle
D) Right triangle
Q35: A triangle in which all sides are of different lengths is called
A) Scalene triangle
B) Isosceles triangle
C) Equilateral triangle
D) Right triangle
Q36: Which of the following shapes is a regular polygon?
A) Any rectangle
B) Any scalene triangle
C) A square
D) Any quadrilateral
Q37: How many right angles are there in a rectangle?
A) 1
B) 2
C) 3
D) 4
Q38: Which of these statements is true about a square and a rectangle?
A) Every rectangle is a square
B) Every square is a rectangle
C) No relation between square and rectangle
D) Both must have all sides unequal
Q39: The name of a triangle with one angle equal to 90° is
A) Acute triangle
B) Obtuse triangle
C) Right triangle
D) Scalene triangle
Q40: A quadrilateral in which all sides are equal but angles are not necessarily 90° is called
A) Rectangle
B) Square
C) Rhombus
D) Kite
Q41: Which of these sets can be the side lengths of a triangle?
A) 2 cm, 3 cm, 6 cm
B) 4 cm, 5 cm, 10 cm
C) 3 cm, 4 cm, 8 cm
D) 5 cm, 6 cm, 8 cm
Q42: In school charts, a “STOP” traffic sign is usually in the shape of a
A) Triangle
B) Octagon
C) Pentagon
D) Hexagon
Q43: A plane figure with three sides and three angles is called
A) Quadrilateral
B) Triangle
C) Pentagon
D) Hexagon
Q44: The diagonals of a square
A) Are unequal and perpendicular
B) Are equal but not perpendicular
C) Are equal and perpendicular
D) Never intersect
Q45: A book kept on a table looks like which 2D shape from the top?
A) Circle
B) Triangle
C) Rectangle
D) Pentagon
Triangles
Q46: The sum of the three interior angles of any triangle is
A) 90°
B) 120°
C) 180°
D) 270°
Q47: In a right triangle, the side opposite the right angle is called
A) Base
B) Height
C) Hypotenuse
D) Median
Q48: A triangle with all angles less than 90° is called
A) Right triangle
B) Obtuse triangle
C) Acute triangle
D) Scalene triangle
Q49: If one angle of a triangle is greater than 90°, the triangle is
A) Right triangle
B) Obtuse triangle
C) Acute triangle
D) Isosceles triangle
Q50: In an isosceles triangle,
A) All sides are unequal
B) All three sides are equal
C) At least two sides are equal
D) No angles are equal
Q51: The Pythagoras theorem is applicable to
A) Any triangle
B) Only equilateral triangles
C) Only right triangles
D) Only acute triangles
Q52: In a right triangle, if the hypotenuse is 13 cm and one side is 5 cm, the other side is
A) 8 cm
B) 10 cm
C) 12 cm
D) 9 cm
Q53: Two triangles are congruent if
A) Their areas are equal
B) Their corresponding sides and angles are equal
C) Only their perimeters are equal
D) They have same base length
Q54: Which of the following is a correct congruence criterion?
A) SSS
B) SSA
C) AAA
D) SAA only
Q55: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the criterion is
A) SSS
B) SAS
C) ASA
D) RHS
Q56: Two triangles are said to be similar if
A) Their areas are equal
B) They have equal perimeters
C) Their corresponding angles are equal and sides are proportional
D) They are both right triangles only
Q57: In two similar triangles, the ratio of their areas is equal to
A) Ratio of their corresponding sides
B) Square of ratio of their corresponding sides
C) Cube of ratio of their corresponding sides
D) Twice the ratio of corresponding sides
Q58: The area of a right triangle with base 10 cm and height 6 cm is
A) 16 cm²
B) 30 cm²
C) 60 cm²
D) 80 cm²
Q59: A student draws a triangle with angles 60°, 60°, and 60°. This triangle is
A) Right and isosceles
B) Equilateral and acute
C) Scalene and obtuse
D) Isosceles and right
Q60: In a school project, two triangles have corresponding sides in the ratio 2:3. Their areas will be in the ratio
A) 2:3
B) 3:2
C) 4:9
D) 9:4
Polygons and Quadrilaterals
Q61: A polygon with 5 sides is called
A) Triangle
B) Quadrilateral
C) Pentagon
D) Hexagon
Q62: The sum of the interior angles of a quadrilateral is
A) 180°
B) 270°
C) 360°
D) 450°
Q63: A quadrilateral with exactly one pair of parallel sides is called
A) Parallelogram
B) Trapezium
C) Kite
D) Rhombus
Q64: A parallelogram has
A) Only one pair of equal sides
B) Opposite sides equal and parallel
C) All sides unequal
D) Only adjacent sides equal
Q65: A quadrilateral with all sides equal but angles not necessarily equal is called
A) Square
B) Rectangle
C) Rhombus
D) Trapezium
Q66: In a rectangle, diagonals are
A) Unequal and perpendicular
B) Equal but not perpendicular
C) Unequal and not perpendicular
D) Equal and perpendicular
Q67: A quadrilateral with two pairs of adjacent equal sides is a
A) Parallelogram
B) Rhombus
C) Kite
D) Trapezium
Q68: Which property is always true for a parallelogram?
A) Diagonals are perpendicular
B) All sides are equal
C) Opposite angles are equal
D) Only one diagonal bisects the other
Q69: A square is a special type of
A) Only a rectangle
B) Only a rhombus
C) Only a parallelogram
D) All of the above
Q70: If each interior angle of a regular pentagon is equal, its measure is
A) 108°
B) 120°
C) 135°
D) 144°
Q71: A regular polygon has
A) All sides equal only
B) All angles equal only
C) Both sides and angles equal
D) Neither sides nor angles equal
Q72: How many diagonals does a quadrilateral have?
A) 1
B) 2
C) 3
D) 4
Q73: In a rhombus, diagonals are
A) Equal and perpendicular
B) Only equal
C) Only perpendicular
D) Neither equal nor perpendicular
Q74: A polygon with 8 sides is called
A) Octagon
B) Heptagon
C) Nonagon
D) Decagon
Q75: Which of the following has no parallel sides?
A) Parallelogram
B) Trapezium
C) Kite
D) Rectangle
Three-Dimensional Shapes
Q76: A solid shape with only one curved surface is
A) Cube
B) Cylinder
C) Sphere
D) Cone
Q77: A cube has how many faces?
A) 4
B) 5
C) 6
D) 8
Q78: A cylinder has
A) One flat face
B) Two flat faces and one curved surface
C) Three curved surfaces
D) Six flat faces
Q79: A cone has how many edges?
A) 0
B) 1
C) 2
D) 3
Q80: A cuboid differs from a cube because
A) It has curved faces
B) Its faces are rectangles, not necessarily squares
C) It has fewer edges
D) It has fewer vertices
Q81: A cube has how many edges?
A) 8
B) 10
C) 12
D) 14
Q82: The number of vertices in a cuboid is
A) 6
B) 8
C) 10
D) 12
Q83: A sphere has how many flat faces?
A) 0
B) 1
C) 2
D) 3
Q84: A dice used in a board game is an example of a
A) Cuboid
B) Cylinder
C) Cube
D) Pyramid
Q85: A pyramid with a square base has how many triangular faces?
A) 2
B) 3
C) 4
D) 5
Q86: Which of the following has no edges and no vertices?
A) Cylinder
B) Cone
C) Sphere
D) Cube
Q87: The Euler formula for polyhedrons is
A) F + V = E
B) V + E = F
C) V – E + F = 2
D) V + F – E = 1
Q88: A milk can usually has the shape of a
A) Sphere
B) Cuboid
C) Cylinder
D) Cone
Q89: Which 3D shape has circular base and a single vertex?
A) Cylinder
B) Cube
C) Sphere
D) Cone
Q90: A matchbox is closest in shape to a
A) Cube
B) Cuboid
C) Cylinder
D) Prism
Introduction to Euclid’s Geometry
Q91: Euclid’s geometry is mainly based on
A) Observations only
B) Axioms and postulates
C) Experiments only
D) Guessing results
Q92: In Euclid’s geometry, a point is defined as
A) A thick dot
B) A small circle
C) That which has no part
D) A line segment
Q93: Which of the following is an axiom?
A) Parallel lines never meet
B) Things equal to the same thing are equal to one another
C) A circle has 360 degrees
D) A triangle has three sides
Q94: Euclid’s postulates are related to
A) Arithmetic operations
B) Algebraic identities
C) Geometrical constructions
D) Probability concepts
Q95: According to Euclid, a line is
A) A curved mark
B) Length without breadth
C) A plane surface
D) A thick object
Q96: A postulate differs from an axiom because a postulate is
A) Always proven
B) Not related to geometry
C) Specific to geometry
D) Related to measurement only
Q97: Euclid’s fifth postulate deals with
A) Circle area
B) Parallel lines
C) Triangle angles
D) Distance between points
Q98: According to Euclid, parallel lines are those which
A) Intersect at one point
B) Never intersect
C) Form right angles
D) Are always horizontal
Q99: A plane surface is defined by Euclid as
A) A flat surface which lies evenly with the lines on it
B) A round surface
C) A slanting surface
D) A broken surface
Q100: Euclid wrote his geometric work in the book called
A) Almagest
B) Elements
C) Geometry Today
D) Principles of Maths
Q101: Which statement is a postulate of Euclid?
A) The whole is equal to the sum of its parts
B) A straight line can be drawn joining any two points
C) Things which coincide are equal
D) All right angles are equal
Q102: Euclid’s definitions mainly explain
A) Numerical values
B) Algebraic formulas
C) Basic geometric terms
D) Scientific instruments
Q103: An axiom is a statement which is
A) Proven after experiment
B) Accepted without proof
C) Always false
D) Only theoretical
Q104: How many postulates were stated by Euclid?
A) 3
B) 4
C) 5
D) 6
Q105: Which of the following belongs to Euclidean geometry?
A) Curved space only
B) Geometry on a plane surface
C) Geometry in space only
D) Geometry of numbers
Circles
Q106: A circle is the set of all points which are at a fixed distance from a point called
A) Diameter
B) Radius
C) Centre
D) Chord
Q107: The line segment joining the centre of a circle to a point on the circle is called
A) Diameter
B) Radius
C) Tangent
D) Sector
Q108: A diameter of a circle is
A) Half of the radius
B) Twice the radius
C) Equal to the radius
D) One-third of the radius
Q109: A tangent to a circle touches the circle at
A) Two points
B) Exactly one point
C) All points
D) The centre
Q110: A chord that passes through the centre of a circle is called
A) Radius
B) Secant
C) Diameter
D) Arc
Q111: The angle subtended by a diameter at a point on the circle is
A) Acute angle
B) Obtuse angle
C) Right angle
D) Straight angle
Q112: Two chords equal in length are equidistant from
A) The circle boundary
B) The centre of the circle
C) Each other
D) The tangent
Q113: A secant of a circle is a line that
A) Touches the circle at one point
B) Does not touch the circle
C) Cuts the circle at two points
D) Touches the centre
Q114: A semicircle is formed when a circle is divided by its
A) Radius
B) Tangent
C) Diameter
D) Chord
Q115: How many tangents can be drawn from a point on the circle?
A) 0
B) 1
C) 2
D) Infinite
Q116: The longest chord of a circle is the
A) Radius
B) Tangent
C) Diameter
D) Secant
Q117: The region bounded by a chord and its corresponding arc is called
A) Sector
B) Segment
C) Radius
D) Arc
Q118: In a circle, the perpendicular drawn from the centre to a chord
A) Bisects it
B) Increases its length
C) Moves it away from the centre
D) Makes it parallel
Q119: A quadrilateral whose all vertices lie on a circle is called
A) Parallelogram
B) Cyclic quadrilateral
C) Kite
D) Trapezium
Q120: In a cyclic quadrilateral, the opposite angles are
A) Equal
B) Twice each other
C) Supplementary
D) Vertically opposite