Class 9 Multiple Chapters Mcq Test (09050610_01)

If a transversal intersects two parallel lines, then the bisectors of any pair of corresponding angles are:
(a) Perpendicular
(b) Intersecting
(c) Parallel
(d) Coincident

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

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

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.

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

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°

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°

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

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 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°

The semi-perimeter of a triangle is 21 cm, and two of its sides are 10 cm and 12 cm. What is the area of the triangle?
(a) 21√5 cm²
(b) 12√7 cm²
(c) 10√21 cm²
(d) 21√11 cm²

A triangle has sides of 13 cm, 14 cm, and 15 cm. What is its area?
(a) 84 cm²
(b) 90 cm²
(c) 105 cm²
(d) 78 cm²

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

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