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Geometry

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

Angle Properties (Lines, Triangles, Polygons)

Subtopic

Angle Properties (Lines, Triangles, Polygons) under Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In a rhombus, one of the interior angles is 60∘60^\circ. What is the size of the angle opposite to it?

    A.

    120∘120^\circ

    B.

    60∘60^\circ

    C.

    30∘30^\circ

    D.

    90∘90^\circ

  2. 2.

    What is the sum of the exterior angles of a regular heptagon?

    A.

    900∘900^\circ

    B.

    180∘180^\circ

    C.

    360∘360^\circ

    D.

    540∘540^\circ

  3. 3.

    The angles of a triangle are xx, 2x2x, and 7x7x. Find the value of xx.

    A.

    1010

    B.

    1818

    C.

    2020

    D.

    1515

Download the worksheet for Geometry - Angle Properties (Lines, Triangles, Polygons) to practice offline. It includes additional chapter-level practice questions.

Circle Theorems

Subtopic

Circle Theorems under Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The radius of a circle is 1717 cm and a chord is 3030 cm long. Find the perpendicular distance from the center to the chord.

    A.

    88 cm

    B.

    1515 cm

    C.

    22 cm

    D.

    44 cm

  2. 2.

    In a circle with center OO, PP and RR are on the circumference. If △OPR\triangle OPR has ∠POR=80∘\angle POR = 80^{\circ}, find the size of ∠OPR\angle OPR.

    A.

    80∘80^{\circ}

    B.

    100∘100^{\circ}

    C.

    50∘50^{\circ}

    D.

    40∘40^{\circ}

  3. 3.

    If the angle at the circumference of a circle is 30∘30^{\circ}, what is the angle at the center subtended by the same arc?

    A.

    15∘15^{\circ}

    B.

    30∘30^{\circ}

    C.

    60∘60^{\circ}

    D.

    90∘90^{\circ}

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

Similarity and Congruence

Subtopic

Similarity and Congruence under Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The AAS congruence criterion stands for:

    A.

    Area-Area-Side

    B.

    Angle-Angle-Side

    C.

    Angle-Angle-Shape

    D.

    Altitude-Angle-Side

  2. 2.

    If △ABC∼△DEF\triangle ABC \sim \triangle DEF and the scale factor is kk, then the ratio of their heights is:

    A.

    kk

    B.

    k2k^2

    C.

    k3k^3

    D.

    k\sqrt{k}

  3. 3.

    If a square with side length xx is enlarged to a square with side length 3x3x, the area increases by a factor of:

    A.

    33

    B.

    66

    C.

    99

    D.

    2727

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

Symmetry in 2D and 3D

Subtopic

Symmetry in 2D and 3D under Geometry for Grade 10 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the order of rotational symmetry for a pinwheel shape with 6 identical blades?

    A.

    1

    B.

    3

    C.

    6

    D.

    12

  2. 2.

    How many planes of symmetry does a regular triangular pyramid (tetrahedron) have?

    A.

    3

    B.

    4

    C.

    6

    D.

    1

  3. 3.

    What is the order of rotational symmetry for a regular polygon with 15 sides?

    A.

    1

    B.

    5

    C.

    15

    D.

    30

Download the worksheet for Geometry - Symmetry in 2D and 3D to practice offline. It includes additional chapter-level practice questions.