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Geometry

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

Angle properties (parallel lines and polygons)

Subtopic

Angle properties (parallel lines and polygons) under Geometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the size of one interior angle of a regular decagon?

    A.

    144∘144^\circ

    B.

    135∘135^\circ

    C.

    150∘150^\circ

    D.

    140∘140^\circ

  2. 2.

    What is the sum of the interior angles of a hexagon?

    A.

    540∘540^\circ

    B.

    720∘720^\circ

    C.

    900∘900^\circ

    D.

    360∘360^\circ

  3. 3.

    Calculate the interior angle of a regular nonagon.

    A.

    140∘140^\circ

    B.

    135∘135^\circ

    C.

    144∘144^\circ

    D.

    120∘120^\circ

Download the worksheet for Geometry - Angle properties (parallel lines and polygons) to practice offline. It includes additional chapter-level practice questions.

Symmetry

Subtopic

Symmetry under Geometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    How many lines of symmetry does a semi-circle have?

    A.

    00

    B.

    11

    C.

    22

    D.

    Infinite

  2. 2.

    Which shape has exactly one line of symmetry and an order of rotational symmetry of 1?

    A.

    Rectangle

    B.

    Parallelogram

    C.

    Kite

    D.

    Rhombus

  3. 3.

    How many lines of symmetry does a regular 15-sided polygon have?

    A.

    11

    B.

    1515

    C.

    3030

    D.

    55

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

Similarity and congruence

Subtopic

Similarity and congruence under Geometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Two triangles ΔABC\Delta ABC and ΔDEF\Delta DEF have AB=DEAB=DE, BC=EFBC=EF, and ∠B=∠E\angle B = \angle E. They are congruent by:

    A.

    SSS

    B.

    SAS

    C.

    ASA

    D.

    RHS

  2. 2.

    If the ratio of the radii of two similar cylinders is kk, the ratio of their total surface areas is:

    A.

    kk

    B.

    2k2k

    C.

    k2k^2

    D.

    k3k^3

  3. 3.

    Which congruence criterion requires two angles and the side between them to be equal?

    A.

    SAS

    B.

    SSS

    C.

    ASA

    D.

    AAS

Download the worksheet for Geometry - Similarity and congruence to practice offline. It includes additional chapter-level practice questions.

Circle theorems

Subtopic

Circle theorems under Geometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If ∠BAC=45∘\angle BAC = 45^\circ and A,B,CA, B, C are on the circumference of a circle with center OO, find the reflex angle ∠BOC\angle BOC.

    A.

    90∘90^\circ

    B.

    270∘270^\circ

    C.

    225∘225^\circ

    D.

    180∘180^\circ

  2. 2.

    A circle has a diameter of 2626 cm. A chord is 2424 cm long. How far is the chord from the center?

    A.

    55 cm

    B.

    1010 cm

    C.

    1313 cm

    D.

    77 cm

  3. 3.

    In a cyclic quadrilateral, if one exterior angle is 88∘88^\circ, find the interior opposite angle.

    A.

    92∘92^\circ

    B.

    88∘88^\circ

    C.

    176∘176^\circ

    D.

    44∘44^\circ

Download the worksheet for Geometry - Circle theorems to practice offline. It includes additional chapter-level practice questions.

Construction and Loci

Subtopic

Construction and Loci under Geometry for Grade 11 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which construction involves drawing two arcs of the same radius from two different points to find an intersection point?

    A.

    Angle bisector

    B.

    Perpendicular bisector

    C.

    Copying an angle

    D.

    All of the above

  2. 2.

    A region RR is defined as being within 2 cm2\text{ cm} of the vertices of a triangle. This region consists of:

    A.

    Three small circles

    B.

    Three circular sectors at the vertices

    C.

    A single large circle

    D.

    The area inside the triangle

  3. 3.

    The locus of points equidistant from two concentric circles with radii 3 cm3\text{ cm} and 7 cm7\text{ cm} is:

    A.

    A circle with radius 4 cm4\text{ cm}

    B.

    A circle with radius 5 cm5\text{ cm}

    C.

    A circle with radius 10 cm10\text{ cm}

    D.

    A square with side 5 cm5\text{ cm}

Download the worksheet for Geometry - Construction and Loci to practice offline. It includes additional chapter-level practice questions.

Geometry - IGCSE Grade 11 Maths Notes & Revision | Krit.club