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Class 9 Quadrilaterals worksheet

CBSE Mathematics. Parallelograms, rhombuses, rectangles, the mid-point theorem. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    Three angles of a quadrilateral are 55°, 80°, 104°. The fourth angle is:

    1. 131°
    2. 239°
    3. 59°
    4. 121°
    Answer

    (d) 121°

    360° − 239° = 121°

  2. 2.

    One angle of a parallelogram is 130°. The angle opposite it is:

    1. 130°
    2. 50°
    3. 230°
    4. 40°
    Answer

    (a) 130°

    opposite angles are equal

  3. 3.

    The diagonals of a rhombus are 14 cm and 48 cm. Each side of the rhombus is:

    1. 50 cm
    2. 31 cm
    3. 32 cm
    4. 25 cm
    Answer

    (d) 25 cm

    the diagonals bisect at right angles: √(7² + 24²) = 25

Section B · short answer

  1. 4.

    Two adjacent angles of a parallelogram are (4x + 36)° and (2x + 6)°. Find x and all four angles.

    Answer

    x = 23; 128°, 52°, 128°, 52°

    adjacent angles are supplementary: 6x + 42 = 180

  2. 5.

    Two opposite angles of a parallelogram are (x + 3)° and (3x − 45)°. Find x and the angles of the parallelogram.

    Answer

    x = 24; 27°, 153°, 27°, 153°

    opposite angles are equal: −2x = −48

Section C · long answer

  1. 6.

    A rectangular field is 60 m by 80 m. How much shorter is it to walk along the diagonal than along two sides?

    Answer

    40 m

    diagonal = √(60² + 80²) = 100 m; 140 − 100 = 40

Fresh sheets for your child

In the app, every Quadrilaterals sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

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