Class 9 Multiple Chapters Mcq Test (09050610_01)

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)

The area of an isosceles triangle is 48 cm². If the length of its unequal side is 12 cm, what is the length of one of the equal sides?
(a) 8 cm
(b) 10 cm
(c) 12 cm
(d) 14 cm

The angles of a triangle are in the ratio 2 : 3 : 4. What is the measure of the smallest angle?
(a) 20°
(b) 40°
(c) 60°
(d) 80°

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 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

"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 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

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

An angle is 14° more than its supplementary angle. What is the measure of the angle?
(a) 83°
(b) 97°
(c) 104°
(d) 52°

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

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

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.

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 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°