Class 9 Multiple Chapters Mcq Test (09050610_01)

Which of the following is true based on Euclid's axioms?
(a) The whole is less than the part.
(b) The whole is equal to the part.
(c) The whole is greater than the part.
(d) None of the above.

An advertisement board is in the form of a triangle with sides 12 m, 22 m, and 20 m. What is the cost of painting it at the rate of ₹5 per m²?
(a) ₹480
(b) ₹500
(c) ₹491
(d) ₹520 (approx)

"If equals are added to equals, the wholes are equal." This statement is a(n):
(a) Postulate
(b) Definition
(c) Axiom
(d) Theorem

How many lines can be drawn passing through two distinct given points?
(a) Zero
(b) One
(c) Two
(d) Infinitely many

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. What is the area of the triangle?
(a) 32√2 cm²
(b) 48√2 cm²
(c) 32√3 cm²
(d) 16√3 cm²

Euclid's fifth postulate is equivalent to:
(a) The Playfair's Axiom
(b) The Pythagorean Theorem
(c) The Angle Sum Property
(d) The axiom that two distinct points determine a unique line

The perimeter of a triangle is 60 cm. If its sides are in the ratio 1 : 3 : 2, what is the length of the longest side?
(a) 10 cm
(b) 20 cm
(c) 30 cm
(d) 40 cm

If the area of an equilateral triangle is 36√3 cm², what is its perimeter?
(a) 12 cm
(b) 24 cm
(c) 36 cm
(d) 48 cm

Euclid's first three postulates essentially state the usability of which two basic geometric tools?
A) Protractor and ruler
B) Straightedge and compass
C) Scale and protractor
D) Compass and T-square

The lengths of the sides of a triangle are 7 cm, 8 cm, and 9 cm. The length of the altitude to the longest side is:
(a) 4√5 cm
(b) 6√5 cm
(c) (8√5)/3 cm
(d) (12√5)/3 cm

In triangle PQR, if ∠P = 70° and ∠R = 40°, which side of the triangle is the longest?
(a) PQ
(b) QR
(c) PR
(d) Cannot be determined

Two straight lines AB and CD intersect at a point O. If ∠AOC = 45°, then what is the measure of ∠BOD?
(a) 45°
(b) 55°
(c) 135°
(d) 90°

If line AB is parallel to line CD, what is the value of x?
(two parallel lines AB and CD cut by a transversal. The consecutive interior angles are marked as (2x + 15)° and (3x + 5)°.)
(a) 32°
(b) 36°
(c) 40°
(d) 44°

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:
(a) An isosceles triangle
(b) An obtuse triangle
(c) An equilateral triangle
(d) A right-angled triangle

A "solid" is defined by Euclid as having:
A) Length and breadth only.
B) Length only.
C) No parts.
D) Length, breadth, and depth.