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Practical Geometry

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Construction of a Circle

Subtopic

Construction of a Circle under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    To draw a circle, we keep the compass pointer fixed and move the pencil point. The fixed point represents the:

    A.

    Radius

    B.

    Circumference

    C.

    Center

    D.

    Chord

  2. 2.

    If a circle has a diameter of 16 cm16\text{ cm}, then its radius is:

    A.

    32 cm32\text{ cm}

    B.

    16 cm16\text{ cm}

    C.

    4 cm4\text{ cm}

    D.

    8 cm8\text{ cm}

  3. 3.

    A piece of a circle's boundary is called an:

    A.

    Angle

    B.

    Arc

    C.

    Edge

    D.

    Side

Download the worksheet for Practical Geometry - Construction of a Circle to practice offline. It includes additional chapter-level practice questions.

Construction of a Line Segment

Subtopic

Construction of a Line Segment under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If you draw a line segment of 3.23.2 cm and another of 1.81.8 cm, what is their total length?

    A.

    4.04.0 cm

    B.

    5.05.0 cm

    C.

    5.25.2 cm

    D.

    4.84.8 cm

  2. 2.

    A segment that is 11 cm long is made of how many 11 mm parts?

    A.

    11

    B.

    1010

    C.

    100100

    D.

    0.10.1

  3. 3.

    Which of these is the correct way to name a line segment with endpoints MM and NN?

    A.

    MNMN

    B.

    Line MNMN

    C.

    Point MNMN

    D.

    Ray MNMN

Download the worksheet for Practical Geometry - Construction of a Line Segment to practice offline. It includes additional chapter-level practice questions.

Constructing a Copy of a Line Segment

Subtopic

Constructing a Copy of a Line Segment under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Before drawing the arc on the new line, you must ensure the compass needle is placed exactly on the:

    A.

    Ruler

    B.

    Pencil tip

    C.

    Starting point

    D.

    End of the paper

  2. 2.

    The segment we are asked to duplicate at the start of a problem is often called the _______ segment.

    A.

    Constructed

    B.

    Given

    C.

    Imaginary

    D.

    Final

  3. 3.

    If the original segment is AB\overline{AB}, a common and clear way to name its constructed copy is:

    A.

    AB\overline{AB}

    B.

    AB\overline{A'B'}

    C.

    Point A

    D.

    Circle B

Download the worksheet for Practical Geometry - Constructing a Copy of a Line Segment to practice offline. It includes additional chapter-level practice questions.

Constructing Perpendiculars

Subtopic

Constructing Perpendiculars under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If a line ll is the perpendicular bisector of segment XYXY, how many points on ll are at equal distance from XX and YY?

    A.

    Only one

    B.

    Only two

    C.

    None

    D.

    Every point on line ll

  2. 2.

    The angle between the adjacent sides of a square is:

    A.

    6060^{\circ}

    B.

    9090^{\circ}

    C.

    120120^{\circ}

    D.

    180180^{\circ}

  3. 3.

    Two lines that intersect at 9090^{\circ} are called:

    A.

    Parallel lines

    B.

    Perpendicular lines

    C.

    Coincident lines

    D.

    Transversal lines

Download the worksheet for Practical Geometry - Constructing Perpendiculars to practice offline. It includes additional chapter-level practice questions.

Constructing a Perpendicular Bisector of a Line Segment

Subtopic

Constructing a Perpendicular Bisector of a Line Segment under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If line pp is the perpendicular bisector of ABAB, and QQ is the point where they meet, then AQP\angle AQP (where PP is on line pp) is:

    A.

    3030^\circ

    B.

    6060^\circ

    C.

    9090^\circ

    D.

    4545^\circ

  2. 2.

    What is the purpose of drawing arcs above AND below the line segment?

    A.

    To make the drawing look pretty

    B.

    To find two points to define the bisector line

    C.

    To measure the length of the line

    D.

    To draw a circle

  3. 3.

    If CD=22CD = 22 cm, what is the length of the segment from CC to its perpendicular bisector?

    A.

    1111 cm

    B.

    2222 cm

    C.

    4444 cm

    D.

    5.55.5 cm

Download the worksheet for Practical Geometry - Constructing a Perpendicular Bisector of a Line Segment to practice offline. It includes additional chapter-level practice questions.

Constructing Angles of specific measures (60°, 30°, 120°, 90°, 45°)

Subtopic

Constructing Angles of specific measures (60°, 30°, 120°, 90°, 45°) under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of these tools is NOT strictly necessary for constructing a 6060^\circ angle using the classical method?

    A.

    Compass

    B.

    Ruler

    C.

    Protractor

    D.

    Pencil

  2. 2.

    If you have a 3030^\circ angle and you want to make it 6060^\circ, you should:

    A.

    Bisect it

    B.

    Double it

    C.

    Subtract 1010^\circ

    D.

    Add 9090^\circ

  3. 3.

    Which angle is formed by bisecting the region between the 6060^\circ mark and the 120120^\circ mark on a construction?

    A.

    3030^\circ

    B.

    9090^\circ

    C.

    4545^\circ

    D.

    7575^\circ

Download the worksheet for Practical Geometry - Constructing Angles of specific measures (60°, 30°, 120°, 90°, 45°) to practice offline. It includes additional chapter-level practice questions.

Constructing a copy of an angle

Subtopic

Constructing a copy of an angle under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    How many rays are needed to form the final copied angle?

    A.

    One

    B.

    Two

    C.

    Three

    D.

    Four

  2. 2.

    If we use a ruler and compass to copy an angle, the method is more ______ than using a protractor.

    A.

    Colorful

    B.

    Traditional/Pure

    C.

    Difficult

    D.

    Inaccurate

  3. 3.

    In the name DEF\angle DEF, the middle letter EE always represents the ______.

    A.

    Arm

    B.

    Ray

    C.

    Vertex

    D.

    Arc

Download the worksheet for Practical Geometry - Constructing a copy of an angle to practice offline. It includes additional chapter-level practice questions.

Bisector of an Angle

Subtopic

Bisector of an Angle under Practical Geometry for Grade 6 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If ray BDBD bisects ABC\angle ABC and ABC=136\angle ABC = 136^\circ, find the measure of CBD\angle CBD.

    A.

    6868^\circ

    B.

    7878^\circ

    C.

    6363^\circ

    D.

    136136^\circ

  2. 2.

    What is the measure of each angle formed by bisecting an angle of 168168^\circ?

    A.

    8484^\circ

    B.

    7474^\circ

    C.

    8888^\circ

    D.

    9494^\circ

  3. 3.

    If an angle of 108108^\circ is bisected, each of the resulting angles is a/an:

    A.

    Acute angle

    B.

    Obtuse angle

    C.

    Right angle

    D.

    Straight angle

Download the worksheet for Practical Geometry - Bisector of an Angle to practice offline. It includes additional chapter-level practice questions.