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Geometry

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

Similarity (of triangles, polygons)

Subtopic

Similarity (of triangles, polygons) under Geometry for Grade 10 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR, and ∠A+∠B=130∘\angle A + \angle B = 130^\circ, then ∠R\angle R is:

    A.

    130∘130^\circ

    B.

    50∘50^\circ

    C.

    65∘65^\circ

    D.

    70∘70^\circ

  2. 2.

    In ΔABC\Delta ABC, DE∥BCDE \parallel BC and AD/DB=3/5AD/DB = 3/5. If AC=16 cmAC = 16\text{ cm}, find AEAE.

    A.

    6 cm6\text{ cm}

    B.

    10 cm10\text{ cm}

    C.

    8 cm8\text{ cm}

    D.

    4 cm4\text{ cm}

  3. 3.

    If the ratio of the corresponding altitudes of two similar triangles is h1:h2h_1:h_2, then the ratio of their perimeters is:

    A.

    h12:h22h_1^2:h_2^2

    B.

    h1:h2\sqrt{h_1}:\sqrt{h_2}

    C.

    h1:h2h_1:h_2

    D.

    2h1:2h22h_1:2h_2

Download the worksheet for Geometry - Similarity (of triangles, polygons) to practice offline. It includes additional chapter-level practice questions.

Circles (Angle properties, Cyclic properties, Tangent and Secant properties)

Subtopic

Circles (Angle properties, Cyclic properties, Tangent and Secant properties) under Geometry for Grade 10 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If the angle subtended by a chord at the center of a circle is 90∘90^\circ, and the radius is rr, what is the length of the chord?

    A.

    rr

    B.

    r/2r/\sqrt{2}

    C.

    r2r\sqrt{2}

    D.

    2r2r

  2. 2.

    A point PP is at a distance of 2525 cm from the center OO of a circle of radius 77 cm. The length of the tangent drawn from PP to the circle is:

    A.

    2424 cm

    B.

    1818 cm

    C.

    2020 cm

    D.

    2626 cm

  3. 3.

    If ABCDABCD is a cyclic quadrilateral and ADAD is parallel to BCBC, then which of the following is true?

    A.

    AB=CDAB = CD

    B.

    AB=BCAB = BC

    C.

    ACAC is perpendicular to BDBD

    D.

    AB+CD=AD+BCAB + CD = AD + BC

Download the worksheet for Geometry - Circles (Angle properties, Cyclic properties, Tangent and Secant properties) to practice offline. It includes additional chapter-level practice questions.

Constructions (Tangents to a circle, Circumscribing and Inscribing a circle)

Subtopic

Constructions (Tangents to a circle, Circumscribing and Inscribing a circle) under Geometry for Grade 10 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If the sides of a triangle are 33 cm, 44 cm, and 55 cm, what is its circumradius?

    A.

    1.51.5 cm

    B.

    22 cm

    C.

    2.52.5 cm

    D.

    55 cm

  2. 2.

    In the construction of a tangent to a circle at a point PP using the center OO, the first step is to:

    A.

    Draw a chord

    B.

    Join OPOP

    C.

    Draw a diameter

    D.

    Draw a bisector of OPOP

  3. 3.

    The angle between two tangents drawn from an external point to a circle is 120∘120^\circ. The triangle formed by the two tangents and the chord of contact is:

    A.

    Right-angled

    B.

    Isosceles

    C.

    Scalene

    D.

    Equilateral

Download the worksheet for Geometry - Constructions (Tangents to a circle, Circumscribing and Inscribing a circle) to practice offline. It includes additional chapter-level practice questions.