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Class 9 · Mathematics · 10 Aug 2026

Max marks: 20
Grade Class 9 · Mathematics · 10 questions
Name Class Date
Q.1 MCQ [2 marks]
(a)
Identify the quadrilateral whose diagonals are perpendicular to each other but are NOT necessarily of equal length.
[1 mark]
(a)  Rectangle
(b)  Rhombus
(c)  Isosceles trapezoid
(d)  Parallelogram
(b)
Identify the quadrilateral formed by joining the midpoints of the sides of a quadrilateral taken in order, if the diagonals of the original quadrilateral are perpendicular.
[1 mark]
(a)  Rectangle
(b)  Rhombus
(c)  Square
(d)  Parallelogram
Q.2 Match the Pairs [4 marks]
(a)
Match each special quadrilateral with its defining diagonal property.
[2 marks]
Column AColumn B
1. Rhombus a. Diagonals bisect each other at right angles
2. Rectangle b. Diagonals are equal in length and bisect each other
3. Square c. Diagonals are equal and bisect at right angles
4. Parallelogram d. Diagonals bisect each other but not at right angles
Answer
(b)
Match each special quadrilateral with its unique diagonal property.
[2 marks]
Column AColumn B
1. Rhombus a. Diagonals bisect at right angles
2. Rectangle b. Diagonals are equal in length
3. Kite c. Diagonals intersect at right angles, one bisects the other
4. Square d. Diagonals are equal and bisect at right angles
Answer
3.
The line segment joining the midpoints of any two sides of a triangle is parallel to the third side and is _____ of the third side.
[1 mark]
4.
Define a rhombus in terms of its sides and diagonals.
[1 mark]
Q.5 Short Answer [7 marks]
(a)
Diagonals of a quadrilateral ABCD intersect each other at point O such that AO/BO = CO/DO. Show that ABCD is a trapezium.
[4 marks]
(b)
In a geometry lab at a school in Jaipur, Priya constructs a quadrilateral ABCD by joining the midpoints of the consecutive sides of a given quadrilateral PQRS. Prove that the quadrilateral ABCD is a parallelogram, stating the relevant theorem used.
[3 marks]
6.
Rohan is designing a decorative garden boundary in his courtyard in Jaipur shaped like a quadrilateral PQRS. He measures the sides and finds that PQ = SR = 7 m and PS = QR = 7 m, but the diagonal PR is 10 m and diagonal QS is 7 m. Classify the quadrilateral PQRS precisely based on these measurements and justify why it cannot be a square.
[3 marks]
7.
Reference — Diagram: AI visual
Label 1Label 2Label 3Label 4
Identify the labeled components in the given parallelogram ABCD with diagonals AC and BD intersecting at O.
[2 marks]
Label the following: 1 2 3 4
Generated by Lumai — 10 September 2026
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Class 9 · Mathematics · 10 Aug 2026 — 20 Marks