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Geometry

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

Lines and Angles: Pairs of angles (Complementary, Supplementary, Adjacent, Vertically Opposite)

Subtopic

Lines and Angles: Pairs of angles (Complementary, Supplementary, Adjacent, Vertically Opposite) under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    When two lines intersect, how many pairs of vertically opposite angles are formed?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

  2. 2.

    What is the supplement of 9090^\circ?

    A.

    00^\circ

    B.

    180180^\circ

    C.

    9090^\circ

    D.

    270270^\circ

  3. 3.

    The complement of 3030^\circ is:

    A.

    6060^\circ

    B.

    150150^\circ

    C.

    3030^\circ

    D.

    9090^\circ

Download the worksheet for Geometry - Lines and Angles: Pairs of angles (Complementary, Supplementary, Adjacent, Vertically Opposite) to practice offline. It includes additional chapter-level practice questions.

Parallel Lines and Transversal: Corresponding Angles, Alternate Angles, Interior Angles

Subtopic

Parallel Lines and Transversal: Corresponding Angles, Alternate Angles, Interior Angles under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If two parallel lines are cut by a transversal, the alternate interior angles are always ________.

    A.

    Supplementary

    B.

    Complementary

    C.

    Congruent

    D.

    Perpendicular

  2. 2.

    Given lml \parallel m and a transversal nn. If an angle is 130130^\circ, what is the measure of its linear pair angle?

    A.

    130130^\circ

    B.

    5050^\circ

    C.

    180180^\circ

    D.

    9090^\circ

  3. 3.

    If a transversal intersects two parallel lines, then the co-interior angles are:

    A.

    Equal

    B.

    Complementary

    C.

    Supplementary

    D.

    Always 9090^\circ

Download the worksheet for Geometry - Parallel Lines and Transversal: Corresponding Angles, Alternate Angles, Interior Angles to practice offline. It includes additional chapter-level practice questions.

The Triangle and its Properties: Angle Sum Property, Exterior Angle Property

Subtopic

The Triangle and its Properties: Angle Sum Property, Exterior Angle Property under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If one angle of a triangle is 100100^\circ and the other two are equal, find the measure of the equal angles.

    A.

    4040^\circ

    B.

    8080^\circ

    C.

    5050^\circ

    D.

    3030^\circ

  2. 2.

    In STU\triangle STU, if S=40\angle S = 40^\circ and T=70\angle T = 70^\circ, then STU\triangle STU is:

    A.

    Scalene

    B.

    Right-angled

    C.

    Isosceles

    D.

    Equilateral

  3. 3.

    If an exterior angle of a triangle is 135135^\circ, find the sum of its interior opposite angles.

    A.

    4545^\circ

    B.

    135135^\circ

    C.

    180180^\circ

    D.

    9090^\circ

Download the worksheet for Geometry - The Triangle and its Properties: Angle Sum Property, Exterior Angle Property to practice offline. It includes additional chapter-level practice questions.

Medians and Altitudes of a Triangle

Subtopic

Medians and Altitudes of a Triangle under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If ADAD is the altitude to the base BCBC in ABC\triangle ABC, then ABD\triangle ABD is always a:

    A.

    Right-angled triangle

    B.

    Equilateral triangle

    C.

    Isosceles triangle

    D.

    Obtuse-angled triangle

  2. 2.

    How many medians can be drawn from a single vertex of a triangle?

    A.

    0

    B.

    1

    C.

    2

    D.

    3

  3. 3.

    If the altitude of ABC\triangle ABC to base BCBC is 6 units6\text{ units} and the Area=24 sq unitsArea = 24\text{ sq units}, what is BCBC?

    A.

    4 units4\text{ units}

    B.

    8 units8\text{ units}

    C.

    12 units12\text{ units}

    D.

    16 units16\text{ units}

Download the worksheet for Geometry - Medians and Altitudes of a Triangle to practice offline. It includes additional chapter-level practice questions.

Pythagoras' Theorem and its applications

Subtopic

Pythagoras' Theorem and its applications under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Pythagoras was a famous mathematician from which country?

    A.

    India

    B.

    Egypt

    C.

    Greece

    D.

    Rome

  2. 2.

    In a right-angled triangle, the square of the hypotenuse is equal to the _____ of the squares of the other two sides.

    A.

    Product

    B.

    Difference

    C.

    Sum

    D.

    Quotient

  3. 3.

    If the legs of a right triangle are 2121 and 2828, find the hypotenuse.

    A.

    3535

    B.

    4949

    C.

    4040

    D.

    3030

Download the worksheet for Geometry - Pythagoras' Theorem and its applications to practice offline. It includes additional chapter-level practice questions.

Congruence of Triangles: Criteria (SSS, SAS, ASA, RHS)

Subtopic

Congruence of Triangles: Criteria (SSS, SAS, ASA, RHS) under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If ΔABCΔXYZ\Delta ABC \cong \Delta XYZ, and BC=5 cmBC = 5\text{ cm}, then YZYZ must be:

    A.

    2.5 cm2.5\text{ cm}

    B.

    5 cm5\text{ cm}

    C.

    10 cm10\text{ cm}

    D.

    7 cm7\text{ cm}

  2. 2.

    Two right-angled triangles are congruent by RHS if their ________ and one side are respectively equal.

    A.

    Bases

    B.

    Altitudes

    C.

    Hypotenuses

    D.

    Medians

  3. 3.

    If ΔABCΔQRP\Delta ABC \cong \Delta QRP, then side BCBC corresponds to:

    A.

    QRQR

    B.

    RPRP

    C.

    QPQP

    D.

    PQPQ

Download the worksheet for Geometry - Congruence of Triangles: Criteria (SSS, SAS, ASA, RHS) to practice offline. It includes additional chapter-level practice questions.

Symmetry: Line Symmetry and Rotational Symmetry

Subtopic

Symmetry: Line Symmetry and Rotational Symmetry under Geometry for Grade 7 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    How many lines of symmetry does a regular nonagon (9 sides) have?

    A.

    3

    B.

    6

    C.

    9

    D.

    18

  2. 2.

    What is the order of rotational symmetry of a regular pentagon?

    A.

    2

    B.

    5

    C.

    10

    D.

    1

  3. 3.

    Which of the following is NOT a property of a regular polygon with nn sides?

    A.

    It has nn lines of symmetry

    B.

    The angle of rotation is 360n\frac{360^\circ}{n}

    C.

    It has rotational symmetry of order nn

    D.

    It has only 1 line of symmetry

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