Class 9 Multiple Chapters Mcq Test (09050610_01)

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°

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

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

The proposition that the three interior angles of any triangle sum to two right angles is an example of a:
A) Definition
B) Postulate
C) Axiom
D) Theorem

A solid has:
(a) 0 dimensions
(b) 1 dimension
(c) 2 dimensions
(d) 3 dimensions

The sides of a triangular plot are 50 m, 65 m, and 65 m. What is its area?
(a) 1500 m²
(b) 1625 m²
(c) 1200 m²
(d) 1000 m²

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

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)

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

According to Euclid's definitions, which of the following has no parts?
(a) A line
(b) A surface
(c) A point
(d) A solid

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

If two angles are complementary, and one angle is 20° more than the other, what are the angles?
(a) 35°, 55°
(b) 40°, 50°
(c) 25°, 65°
(d) 30°, 60°

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°

What is the area of an equilateral triangle with a side length of 4√3 cm?
(a) 12√3 cm²
(b) 16√3 cm²
(c) 9√3 cm²
(d) 24 cm²

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